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Finding the Third Proportional to 261,289 and 381,849

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Solution

The third proportional to 261,289 and 381,849 is: 558,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,289 : 381,849 = 381,849 : x
  2. Step 2: Convert to fraction form
    261,289/381,849 = 381,849/x
  3. Step 3: Cross multiply
    261,289x = 381,849 × 381,849
  4. Step 4: Simplify right side
    261,289x = 145,808,658,801
  5. Step 5: Solve for x
    x = 145,808,658,801/261,289
  6. Step 6: Final answer
    x = 558,035.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.