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Finding the Third Proportional to 162,442 and 243,663

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Solution

The third proportional to 162,442 and 243,663 is: 365,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,442 : 243,663 = 243,663 : x
  2. Step 2: Convert to fraction form
    162,442/243,663 = 243,663/x
  3. Step 3: Cross multiply
    162,442x = 243,663 × 243,663
  4. Step 4: Simplify right side
    162,442x = 59,371,657,569
  5. Step 5: Solve for x
    x = 59,371,657,569/162,442
  6. Step 6: Final answer
    x = 365,494.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.