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Finding the Third Proportional to 274,723.31 and 424,539.56

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Solution

The third proportional to 274,723.31 and 424,539.56 is: 656,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,723.31 : 424,539.56 = 424,539.56 : x
  2. Step 2: Convert to fraction form
    274,723.31/424,539.56 = 424,539.56/x
  3. Step 3: Cross multiply
    274,723.31x = 424,539.56 × 424,539.56
  4. Step 4: Simplify right side
    274,723.31x = 180,233,840,127.69
  5. Step 5: Solve for x
    x = 180,233,840,127.69/274,723.31
  6. Step 6: Final answer
    x = 656,055.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.