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Finding the Third Proportional to 162,420 and 391,287

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Solution

The third proportional to 162,420 and 391,287 is: 942,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,420 : 391,287 = 391,287 : x
  2. Step 2: Convert to fraction form
    162,420/391,287 = 391,287/x
  3. Step 3: Cross multiply
    162,420x = 391,287 × 391,287
  4. Step 4: Simplify right side
    162,420x = 153,105,516,369
  5. Step 5: Solve for x
    x = 153,105,516,369/162,420
  6. Step 6: Final answer
    x = 942,651.87

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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.