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Finding the Third Proportional to 71,246 and 152,372

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Solution

The third proportional to 71,246 and 152,372 is: 325,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,246 : 152,372 = 152,372 : x
  2. Step 2: Convert to fraction form
    71,246/152,372 = 152,372/x
  3. Step 3: Cross multiply
    71,246x = 152,372 × 152,372
  4. Step 4: Simplify right side
    71,246x = 23,217,226,384
  5. Step 5: Solve for x
    x = 23,217,226,384/71,246
  6. Step 6: Final answer
    x = 325,874.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.