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Finding the Third Proportional to 65,761.88 and 142,031.60

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Solution

The third proportional to 65,761.88 and 142,031.60 is: 306,757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.88 : 142,031.60 = 142,031.60 : x
  2. Step 2: Convert to fraction form
    65,761.88/142,031.60 = 142,031.60/x
  3. Step 3: Cross multiply
    65,761.88x = 142,031.60 × 142,031.60
  4. Step 4: Simplify right side
    65,761.88x = 20,172,975,842.41
  5. Step 5: Solve for x
    x = 20,172,975,842.41/65,761.88
  6. Step 6: Final answer
    x = 306,757.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.