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Finding the Third Proportional to 71,478 and 108,753

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Solution

The third proportional to 71,478 and 108,753 is: 165,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478 : 108,753 = 108,753 : x
  2. Step 2: Convert to fraction form
    71,478/108,753 = 108,753/x
  3. Step 3: Cross multiply
    71,478x = 108,753 × 108,753
  4. Step 4: Simplify right side
    71,478x = 11,827,215,009
  5. Step 5: Solve for x
    x = 11,827,215,009/71,478
  6. Step 6: Final answer
    x = 165,466.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.