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Finding the Third Proportional to 289,377 and 634,782

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Solution

The third proportional to 289,377 and 634,782 is: 1,392,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,377 : 634,782 = 634,782 : x
  2. Step 2: Convert to fraction form
    289,377/634,782 = 634,782/x
  3. Step 3: Cross multiply
    289,377x = 634,782 × 634,782
  4. Step 4: Simplify right side
    289,377x = 402,948,187,524
  5. Step 5: Solve for x
    x = 402,948,187,524/289,377
  6. Step 6: Final answer
    x = 1,392,467.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.