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Finding the Third Proportional to 77,660.25 and 169,860

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Solution

The third proportional to 77,660.25 and 169,860 is: 371,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,660.25 : 169,860 = 169,860 : x
  2. Step 2: Convert to fraction form
    77,660.25/169,860 = 169,860/x
  3. Step 3: Cross multiply
    77,660.25x = 169,860 × 169,860
  4. Step 4: Simplify right side
    77,660.25x = 28,852,419,600
  5. Step 5: Solve for x
    x = 28,852,419,600/77,660.25
  6. Step 6: Final answer
    x = 371,521.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.