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Finding the Third Proportional to 42,538 and 93,257

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Solution

The third proportional to 42,538 and 93,257 is: 204,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538 : 93,257 = 93,257 : x
  2. Step 2: Convert to fraction form
    42,538/93,257 = 93,257/x
  3. Step 3: Cross multiply
    42,538x = 93,257 × 93,257
  4. Step 4: Simplify right side
    42,538x = 8,696,868,049
  5. Step 5: Solve for x
    x = 8,696,868,049/42,538
  6. Step 6: Final answer
    x = 204,449.39

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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.