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Finding the Third Proportional to 66,839.25 and 90,798.38

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Solution

The third proportional to 66,839.25 and 90,798.38 is: 123,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,839.25 : 90,798.38 = 90,798.38 : x
  2. Step 2: Convert to fraction form
    66,839.25/90,798.38 = 90,798.38/x
  3. Step 3: Cross multiply
    66,839.25x = 90,798.38 × 90,798.38
  4. Step 4: Simplify right side
    66,839.25x = 8,244,344,902.64
  5. Step 5: Solve for x
    x = 8,244,344,902.64/66,839.25
  6. Step 6: Final answer
    x = 123,345.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.