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Finding the Third Proportional to 81,862 and 175,683

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Solution

The third proportional to 81,862 and 175,683 is: 377,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862 : 175,683 = 175,683 : x
  2. Step 2: Convert to fraction form
    81,862/175,683 = 175,683/x
  3. Step 3: Cross multiply
    81,862x = 175,683 × 175,683
  4. Step 4: Simplify right side
    81,862x = 30,864,516,489
  5. Step 5: Solve for x
    x = 30,864,516,489/81,862
  6. Step 6: Final answer
    x = 377,031.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.