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Finding the Third Proportional to 71,742 and 98,481

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Solution

The third proportional to 71,742 and 98,481 is: 135,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,742 : 98,481 = 98,481 : x
  2. Step 2: Convert to fraction form
    71,742/98,481 = 98,481/x
  3. Step 3: Cross multiply
    71,742x = 98,481 × 98,481
  4. Step 4: Simplify right side
    71,742x = 9,698,507,361
  5. Step 5: Solve for x
    x = 9,698,507,361/71,742
  6. Step 6: Final answer
    x = 135,185.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.