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Finding the Third Proportional to 77,687.13 and 169,212.88

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Solution

The third proportional to 77,687.13 and 169,212.88 is: 368,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,687.13 : 169,212.88 = 169,212.88 : x
  2. Step 2: Convert to fraction form
    77,687.13/169,212.88 = 169,212.88/x
  3. Step 3: Cross multiply
    77,687.13x = 169,212.88 × 169,212.88
  4. Step 4: Simplify right side
    77,687.13x = 28,632,997,065.77
  5. Step 5: Solve for x
    x = 28,632,997,065.77/77,687.13
  6. Step 6: Final answer
    x = 368,568.11

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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.