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Finding the Third Proportional to 162,459 and 391,374

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Solution

The third proportional to 162,459 and 391,374 is: 942,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,459 : 391,374 = 391,374 : x
  2. Step 2: Convert to fraction form
    162,459/391,374 = 391,374/x
  3. Step 3: Cross multiply
    162,459x = 391,374 × 391,374
  4. Step 4: Simplify right side
    162,459x = 153,173,607,876
  5. Step 5: Solve for x
    x = 153,173,607,876/162,459
  6. Step 6: Final answer
    x = 942,844.70

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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.