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Finding the Third Proportional to 31,578 and 66,780

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Solution

The third proportional to 31,578 and 66,780 is: 141,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578 : 66,780 = 66,780 : x
  2. Step 2: Convert to fraction form
    31,578/66,780 = 66,780/x
  3. Step 3: Cross multiply
    31,578x = 66,780 × 66,780
  4. Step 4: Simplify right side
    31,578x = 4,459,568,400
  5. Step 5: Solve for x
    x = 4,459,568,400/31,578
  6. Step 6: Final answer
    x = 141,223.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.