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Finding the Third Proportional to 81,604 and 147,831

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Solution

The third proportional to 81,604 and 147,831 is: 267,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,604 : 147,831 = 147,831 : x
  2. Step 2: Convert to fraction form
    81,604/147,831 = 147,831/x
  3. Step 3: Cross multiply
    81,604x = 147,831 × 147,831
  4. Step 4: Simplify right side
    81,604x = 21,854,004,561
  5. Step 5: Solve for x
    x = 21,854,004,561/81,604
  6. Step 6: Final answer
    x = 267,805.56

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.