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Finding the Third Proportional to 77,891.25 and 169,451.25

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Solution

The third proportional to 77,891.25 and 169,451.25 is: 368,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,891.25 : 169,451.25 = 169,451.25 : x
  2. Step 2: Convert to fraction form
    77,891.25/169,451.25 = 169,451.25/x
  3. Step 3: Cross multiply
    77,891.25x = 169,451.25 × 169,451.25
  4. Step 4: Simplify right side
    77,891.25x = 28,713,726,126.56
  5. Step 5: Solve for x
    x = 28,713,726,126.56/77,891.25
  6. Step 6: Final answer
    x = 368,638.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.