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Finding the Third Proportional to 77,874 and 118,350

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Solution

The third proportional to 77,874 and 118,350 is: 179,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874 : 118,350 = 118,350 : x
  2. Step 2: Convert to fraction form
    77,874/118,350 = 118,350/x
  3. Step 3: Cross multiply
    77,874x = 118,350 × 118,350
  4. Step 4: Simplify right side
    77,874x = 14,006,722,500
  5. Step 5: Solve for x
    x = 14,006,722,500/77,874
  6. Step 6: Final answer
    x = 179,863.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.