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Finding the Third Proportional to 489,711.38 and 693,560.81

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Solution

The third proportional to 489,711.38 and 693,560.81 is: 982,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,711.38 : 693,560.81 = 693,560.81 : x
  2. Step 2: Convert to fraction form
    489,711.38/693,560.81 = 693,560.81/x
  3. Step 3: Cross multiply
    489,711.38x = 693,560.81 × 693,560.81
  4. Step 4: Simplify right side
    489,711.38x = 481,026,600,635.66
  5. Step 5: Solve for x
    x = 481,026,600,635.66/489,711.38
  6. Step 6: Final answer
    x = 982,265.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.