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Finding the Third Proportional to 75,708 and 102,861

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Solution

The third proportional to 75,708 and 102,861 is: 139,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708 : 102,861 = 102,861 : x
  2. Step 2: Convert to fraction form
    75,708/102,861 = 102,861/x
  3. Step 3: Cross multiply
    75,708x = 102,861 × 102,861
  4. Step 4: Simplify right side
    75,708x = 10,580,385,321
  5. Step 5: Solve for x
    x = 10,580,385,321/75,708
  6. Step 6: Final answer
    x = 139,752.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.