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Finding the Third Proportional to 31,807.69 and 66,231.84

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Solution

The third proportional to 31,807.69 and 66,231.84 is: 137,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.69 : 66,231.84 = 66,231.84 : x
  2. Step 2: Convert to fraction form
    31,807.69/66,231.84 = 66,231.84/x
  3. Step 3: Cross multiply
    31,807.69x = 66,231.84 × 66,231.84
  4. Step 4: Simplify right side
    31,807.69x = 4,386,657,126.52
  5. Step 5: Solve for x
    x = 4,386,657,126.52/31,807.69
  6. Step 6: Final answer
    x = 137,911.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.