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Finding the Third Proportional to 425,649 and 634,782

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Solution

The third proportional to 425,649 and 634,782 is: 946,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,649 : 634,782 = 634,782 : x
  2. Step 2: Convert to fraction form
    425,649/634,782 = 634,782/x
  3. Step 3: Cross multiply
    425,649x = 634,782 × 634,782
  4. Step 4: Simplify right side
    425,649x = 402,948,187,524
  5. Step 5: Solve for x
    x = 402,948,187,524/425,649
  6. Step 6: Final answer
    x = 946,667.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.