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Finding the Third Proportional to 77,976 and 117,740

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Solution

The third proportional to 77,976 and 117,740 is: 177,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976 : 117,740 = 117,740 : x
  2. Step 2: Convert to fraction form
    77,976/117,740 = 117,740/x
  3. Step 3: Cross multiply
    77,976x = 117,740 × 117,740
  4. Step 4: Simplify right side
    77,976x = 13,862,707,600
  5. Step 5: Solve for x
    x = 13,862,707,600/77,976
  6. Step 6: Final answer
    x = 177,781.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.