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Finding the Third Proportional to 120,781.13 and 257,114.25

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Solution

The third proportional to 120,781.13 and 257,114.25 is: 547,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781.13 : 257,114.25 = 257,114.25 : x
  2. Step 2: Convert to fraction form
    120,781.13/257,114.25 = 257,114.25/x
  3. Step 3: Cross multiply
    120,781.13x = 257,114.25 × 257,114.25
  4. Step 4: Simplify right side
    120,781.13x = 66,107,737,553.06
  5. Step 5: Solve for x
    x = 66,107,737,553.06/120,781.13
  6. Step 6: Final answer
    x = 547,335.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.