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Finding the Third Proportional to 477,434.25 and 690,454.13

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Solution

The third proportional to 477,434.25 and 690,454.13 is: 998,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,434.25 : 690,454.13 = 690,454.13 : x
  2. Step 2: Convert to fraction form
    477,434.25/690,454.13 = 690,454.13/x
  3. Step 3: Cross multiply
    477,434.25x = 690,454.13 × 690,454.13
  4. Step 4: Simplify right side
    477,434.25x = 476,726,898,729.52
  5. Step 5: Solve for x
    x = 476,726,898,729.52/477,434.25
  6. Step 6: Final answer
    x = 998,518.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.