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Finding the Third Proportional to 71,281 and 99,655

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Solution

The third proportional to 71,281 and 99,655 is: 139,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,281 : 99,655 = 99,655 : x
  2. Step 2: Convert to fraction form
    71,281/99,655 = 99,655/x
  3. Step 3: Cross multiply
    71,281x = 99,655 × 99,655
  4. Step 4: Simplify right side
    71,281x = 9,931,119,025
  5. Step 5: Solve for x
    x = 9,931,119,025/71,281
  6. Step 6: Final answer
    x = 139,323.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.