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Finding the Third Proportional to 120,861 and 256,129.13

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Solution

The third proportional to 120,861 and 256,129.13 is: 542,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,861 : 256,129.13 = 256,129.13 : x
  2. Step 2: Convert to fraction form
    120,861/256,129.13 = 256,129.13/x
  3. Step 3: Cross multiply
    120,861x = 256,129.13 × 256,129.13
  4. Step 4: Simplify right side
    120,861x = 65,602,128,673.27
  5. Step 5: Solve for x
    x = 65,602,128,673.27/120,861
  6. Step 6: Final answer
    x = 542,789.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.