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Finding the Third Proportional to 120,420 and 185,159

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Solution

The third proportional to 120,420 and 185,159 is: 284,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,420 : 185,159 = 185,159 : x
  2. Step 2: Convert to fraction form
    120,420/185,159 = 185,159/x
  3. Step 3: Cross multiply
    120,420x = 185,159 × 185,159
  4. Step 4: Simplify right side
    120,420x = 34,283,855,281
  5. Step 5: Solve for x
    x = 34,283,855,281/120,420
  6. Step 6: Final answer
    x = 284,702.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.