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Finding the Third Proportional to 42,125 and 93,592

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Solution

The third proportional to 42,125 and 93,592 is: 207,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,125 : 93,592 = 93,592 : x
  2. Step 2: Convert to fraction form
    42,125/93,592 = 93,592/x
  3. Step 3: Cross multiply
    42,125x = 93,592 × 93,592
  4. Step 4: Simplify right side
    42,125x = 8,759,462,464
  5. Step 5: Solve for x
    x = 8,759,462,464/42,125
  6. Step 6: Final answer
    x = 207,939.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.