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Finding the Third Proportional to 42,654 and 93,372

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Solution

The third proportional to 42,654 and 93,372 is: 204,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,654 : 93,372 = 93,372 : x
  2. Step 2: Convert to fraction form
    42,654/93,372 = 93,372/x
  3. Step 3: Cross multiply
    42,654x = 93,372 × 93,372
  4. Step 4: Simplify right side
    42,654x = 8,718,330,384
  5. Step 5: Solve for x
    x = 8,718,330,384/42,654
  6. Step 6: Final answer
    x = 204,396.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.