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Finding the Third Proportional to 66,710.38 and 145,732.69

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Solution

The third proportional to 66,710.38 and 145,732.69 is: 318,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,710.38 : 145,732.69 = 145,732.69 : x
  2. Step 2: Convert to fraction form
    66,710.38/145,732.69 = 145,732.69/x
  3. Step 3: Cross multiply
    66,710.38x = 145,732.69 × 145,732.69
  4. Step 4: Simplify right side
    66,710.38x = 21,238,016,205.97
  5. Step 5: Solve for x
    x = 21,238,016,205.97/66,710.38
  6. Step 6: Final answer
    x = 318,361.52

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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.