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Finding the Third Proportional to 115,213 and 239,624

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Solution

The third proportional to 115,213 and 239,624 is: 498,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,213 : 239,624 = 239,624 : x
  2. Step 2: Convert to fraction form
    115,213/239,624 = 239,624/x
  3. Step 3: Cross multiply
    115,213x = 239,624 × 239,624
  4. Step 4: Simplify right side
    115,213x = 57,419,661,376
  5. Step 5: Solve for x
    x = 57,419,661,376/115,213
  6. Step 6: Final answer
    x = 498,378.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.