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Finding the Third Proportional to 120,779,760,781 and 180,122,252,797.50

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Solution

The third proportional to 120,779,760,781 and 180,122,252,797.50 is: 268,621,379,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,779,760,781 : 180,122,252,797.50 = 180,122,252,797.50 : x
  2. Step 2: Convert to fraction form
    120,779,760,781/180,122,252,797.50 = 180,122,252,797.50/x
  3. Step 3: Cross multiply
    120,779,760,781x = 180,122,252,797.50 × 180,122,252,797.50
  4. Step 4: Simplify right side
    120,779,760,781x = 32,444,025,952,846,496,137,216
  5. Step 5: Solve for x
    x = 32,444,025,952,846,496,137,216/120,779,760,781
  6. Step 6: Final answer
    x = 268,621,379,468.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.