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Finding the Third Proportional to 239,376 and 518,643

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Solution

The third proportional to 239,376 and 518,643 is: 1,123,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,376 : 518,643 = 518,643 : x
  2. Step 2: Convert to fraction form
    239,376/518,643 = 518,643/x
  3. Step 3: Cross multiply
    239,376x = 518,643 × 518,643
  4. Step 4: Simplify right side
    239,376x = 268,990,561,449
  5. Step 5: Solve for x
    x = 268,990,561,449/239,376
  6. Step 6: Final answer
    x = 1,123,715.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.