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Finding the Third Proportional to 76,851 and 103,612

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Solution

The third proportional to 76,851 and 103,612 is: 139,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,851 : 103,612 = 103,612 : x
  2. Step 2: Convert to fraction form
    76,851/103,612 = 103,612/x
  3. Step 3: Cross multiply
    76,851x = 103,612 × 103,612
  4. Step 4: Simplify right side
    76,851x = 10,735,446,544
  5. Step 5: Solve for x
    x = 10,735,446,544/76,851
  6. Step 6: Final answer
    x = 139,691.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.