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Finding the Third Proportional to 85,619.25 and 136,356.38

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Solution

The third proportional to 85,619.25 and 136,356.38 is: 217,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,619.25 : 136,356.38 = 136,356.38 : x
  2. Step 2: Convert to fraction form
    85,619.25/136,356.38 = 136,356.38/x
  3. Step 3: Cross multiply
    85,619.25x = 136,356.38 × 136,356.38
  4. Step 4: Simplify right side
    85,619.25x = 18,593,061,003.14
  5. Step 5: Solve for x
    x = 18,593,061,003.14/85,619.25
  6. Step 6: Final answer
    x = 217,159.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.