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Finding the Third Proportional to 131,508 and 213,654

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Solution

The third proportional to 131,508 and 213,654 is: 347,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,508 : 213,654 = 213,654 : x
  2. Step 2: Convert to fraction form
    131,508/213,654 = 213,654/x
  3. Step 3: Cross multiply
    131,508x = 213,654 × 213,654
  4. Step 4: Simplify right side
    131,508x = 45,648,031,716
  5. Step 5: Solve for x
    x = 45,648,031,716/131,508
  6. Step 6: Final answer
    x = 347,112.20

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.