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Finding the Third Proportional to 162,486 and 261,387

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Solution

The third proportional to 162,486 and 261,387 is: 420,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,486 : 261,387 = 261,387 : x
  2. Step 2: Convert to fraction form
    162,486/261,387 = 261,387/x
  3. Step 3: Cross multiply
    162,486x = 261,387 × 261,387
  4. Step 4: Simplify right side
    162,486x = 68,323,163,769
  5. Step 5: Solve for x
    x = 68,323,163,769/162,486
  6. Step 6: Final answer
    x = 420,486.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.