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Finding the Third Proportional to 239,908 and 521,288

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Solution

The third proportional to 239,908 and 521,288 is: 1,132,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,908 : 521,288 = 521,288 : x
  2. Step 2: Convert to fraction form
    239,908/521,288 = 521,288/x
  3. Step 3: Cross multiply
    239,908x = 521,288 × 521,288
  4. Step 4: Simplify right side
    239,908x = 271,741,178,944
  5. Step 5: Solve for x
    x = 271,741,178,944/239,908
  6. Step 6: Final answer
    x = 1,132,689.11

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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.