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Finding the Third Proportional to 42,446 and 93,366

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Solution

The third proportional to 42,446 and 93,366 is: 205,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,446 : 93,366 = 93,366 : x
  2. Step 2: Convert to fraction form
    42,446/93,366 = 93,366/x
  3. Step 3: Cross multiply
    42,446x = 93,366 × 93,366
  4. Step 4: Simplify right side
    42,446x = 8,717,209,956
  5. Step 5: Solve for x
    x = 8,717,209,956/42,446
  6. Step 6: Final answer
    x = 205,371.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.