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Finding the Third Proportional to 275,256.75 and 420,781.13

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Solution

The third proportional to 275,256.75 and 420,781.13 is: 643,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,256.75 : 420,781.13 = 420,781.13 : x
  2. Step 2: Convert to fraction form
    275,256.75/420,781.13 = 420,781.13/x
  3. Step 3: Cross multiply
    275,256.75x = 420,781.13 × 420,781.13
  4. Step 4: Simplify right side
    275,256.75x = 177,056,755,156.27
  5. Step 5: Solve for x
    x = 177,056,755,156.27/275,256.75
  6. Step 6: Final answer
    x = 643,242.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.