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Finding the Third Proportional to 82,817 and 178,862

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Solution

The third proportional to 82,817 and 178,862 is: 386,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,817 : 178,862 = 178,862 : x
  2. Step 2: Convert to fraction form
    82,817/178,862 = 178,862/x
  3. Step 3: Cross multiply
    82,817x = 178,862 × 178,862
  4. Step 4: Simplify right side
    82,817x = 31,991,615,044
  5. Step 5: Solve for x
    x = 31,991,615,044/82,817
  6. Step 6: Final answer
    x = 386,292.85

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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.