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Finding the Third Proportional to 135,456 and 209,624

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Solution

The third proportional to 135,456 and 209,624 is: 324,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456 : 209,624 = 209,624 : x
  2. Step 2: Convert to fraction form
    135,456/209,624 = 209,624/x
  3. Step 3: Cross multiply
    135,456x = 209,624 × 209,624
  4. Step 4: Simplify right side
    135,456x = 43,942,221,376
  5. Step 5: Solve for x
    x = 43,942,221,376/135,456
  6. Step 6: Final answer
    x = 324,402.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.