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Finding the Third Proportional to 178,722 and 277,883

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Solution

The third proportional to 178,722 and 277,883 is: 432,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,722 : 277,883 = 277,883 : x
  2. Step 2: Convert to fraction form
    178,722/277,883 = 277,883/x
  3. Step 3: Cross multiply
    178,722x = 277,883 × 277,883
  4. Step 4: Simplify right side
    178,722x = 77,218,961,689
  5. Step 5: Solve for x
    x = 77,218,961,689/178,722
  6. Step 6: Final answer
    x = 432,061.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.