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Finding the Third Proportional to 39,681 and 82,650

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Solution

The third proportional to 39,681 and 82,650 is: 172,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,681 : 82,650 = 82,650 : x
  2. Step 2: Convert to fraction form
    39,681/82,650 = 82,650/x
  3. Step 3: Cross multiply
    39,681x = 82,650 × 82,650
  4. Step 4: Simplify right side
    39,681x = 6,831,022,500
  5. Step 5: Solve for x
    x = 6,831,022,500/39,681
  6. Step 6: Final answer
    x = 172,148.45

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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.