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Finding the Third Proportional to 178,168 and 261,419

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Solution

The third proportional to 178,168 and 261,419 is: 383,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,168 : 261,419 = 261,419 : x
  2. Step 2: Convert to fraction form
    178,168/261,419 = 261,419/x
  3. Step 3: Cross multiply
    178,168x = 261,419 × 261,419
  4. Step 4: Simplify right side
    178,168x = 68,339,893,561
  5. Step 5: Solve for x
    x = 68,339,893,561/178,168
  6. Step 6: Final answer
    x = 383,569.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.