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Finding the Third Proportional to 477,649 and 696,785

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Solution

The third proportional to 477,649 and 696,785 is: 1,016,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,649 : 696,785 = 696,785 : x
  2. Step 2: Convert to fraction form
    477,649/696,785 = 696,785/x
  3. Step 3: Cross multiply
    477,649x = 696,785 × 696,785
  4. Step 4: Simplify right side
    477,649x = 485,509,336,225
  5. Step 5: Solve for x
    x = 485,509,336,225/477,649
  6. Step 6: Final answer
    x = 1,016,456.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.