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Finding the Third Proportional to 257,388 and 391,329

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Solution

The third proportional to 257,388 and 391,329 is: 594,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,388 : 391,329 = 391,329 : x
  2. Step 2: Convert to fraction form
    257,388/391,329 = 391,329/x
  3. Step 3: Cross multiply
    257,388x = 391,329 × 391,329
  4. Step 4: Simplify right side
    257,388x = 153,138,386,241
  5. Step 5: Solve for x
    x = 153,138,386,241/257,388
  6. Step 6: Final answer
    x = 594,970.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.