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Finding the Third Proportional to 162,432 and 391,317

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Solution

The third proportional to 162,432 and 391,317 is: 942,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,432 : 391,317 = 391,317 : x
  2. Step 2: Convert to fraction form
    162,432/391,317 = 391,317/x
  3. Step 3: Cross multiply
    162,432x = 391,317 × 391,317
  4. Step 4: Simplify right side
    162,432x = 153,128,994,489
  5. Step 5: Solve for x
    x = 153,128,994,489/162,432
  6. Step 6: Final answer
    x = 942,726.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.