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Finding the Third Proportional to 42,753 and 93,552

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Solution

The third proportional to 42,753 and 93,552 is: 204,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,753 : 93,552 = 93,552 : x
  2. Step 2: Convert to fraction form
    42,753/93,552 = 93,552/x
  3. Step 3: Cross multiply
    42,753x = 93,552 × 93,552
  4. Step 4: Simplify right side
    42,753x = 8,751,976,704
  5. Step 5: Solve for x
    x = 8,751,976,704/42,753
  6. Step 6: Final answer
    x = 204,710.24

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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.