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Finding the Third Proportional to 120,722,571 and 261,500,710.50

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Solution

The third proportional to 120,722,571 and 261,500,710.50 is: 566,444,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,722,571 : 261,500,710.50 = 261,500,710.50 : x
  2. Step 2: Convert to fraction form
    120,722,571/261,500,710.50 = 261,500,710.50/x
  3. Step 3: Cross multiply
    120,722,571x = 261,500,710.50 × 261,500,710.50
  4. Step 4: Simplify right side
    120,722,571x = 68,382,621,592,004,808
  5. Step 5: Solve for x
    x = 68,382,621,592,004,808/120,722,571
  6. Step 6: Final answer
    x = 566,444,377.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.