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Finding the Third Proportional to 81,420 and 116,217

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Solution

The third proportional to 81,420 and 116,217 is: 165,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,420 : 116,217 = 116,217 : x
  2. Step 2: Convert to fraction form
    81,420/116,217 = 116,217/x
  3. Step 3: Cross multiply
    81,420x = 116,217 × 116,217
  4. Step 4: Simplify right side
    81,420x = 13,506,391,089
  5. Step 5: Solve for x
    x = 13,506,391,089/81,420
  6. Step 6: Final answer
    x = 165,885.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.