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Finding the Third Proportional to 39,729 and 87,045

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Solution

The third proportional to 39,729 and 87,045 is: 190,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,729 : 87,045 = 87,045 : x
  2. Step 2: Convert to fraction form
    39,729/87,045 = 87,045/x
  3. Step 3: Cross multiply
    39,729x = 87,045 × 87,045
  4. Step 4: Simplify right side
    39,729x = 7,576,832,025
  5. Step 5: Solve for x
    x = 7,576,832,025/39,729
  6. Step 6: Final answer
    x = 190,712.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.