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Finding the Third Proportional to 177,906 and 278,523

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Solution

The third proportional to 177,906 and 278,523 is: 436,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,906 : 278,523 = 278,523 : x
  2. Step 2: Convert to fraction form
    177,906/278,523 = 278,523/x
  3. Step 3: Cross multiply
    177,906x = 278,523 × 278,523
  4. Step 4: Simplify right side
    177,906x = 77,575,061,529
  5. Step 5: Solve for x
    x = 77,575,061,529/177,906
  6. Step 6: Final answer
    x = 436,045.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.