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Finding the Third Proportional to 68,909 and 142,246

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Solution

The third proportional to 68,909 and 142,246 is: 293,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,909 : 142,246 = 142,246 : x
  2. Step 2: Convert to fraction form
    68,909/142,246 = 142,246/x
  3. Step 3: Cross multiply
    68,909x = 142,246 × 142,246
  4. Step 4: Simplify right side
    68,909x = 20,233,924,516
  5. Step 5: Solve for x
    x = 20,233,924,516/68,909
  6. Step 6: Final answer
    x = 293,632.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.