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Finding the Third Proportional to 393,921 and 625,329

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Solution

The third proportional to 393,921 and 625,329 is: 992,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,921 : 625,329 = 625,329 : x
  2. Step 2: Convert to fraction form
    393,921/625,329 = 625,329/x
  3. Step 3: Cross multiply
    393,921x = 625,329 × 625,329
  4. Step 4: Simplify right side
    393,921x = 391,036,358,241
  5. Step 5: Solve for x
    x = 391,036,358,241/393,921
  6. Step 6: Final answer
    x = 992,677.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.