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Finding the Third Proportional to 178,372 and 276,060

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Solution

The third proportional to 178,372 and 276,060 is: 427,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,372 : 276,060 = 276,060 : x
  2. Step 2: Convert to fraction form
    178,372/276,060 = 276,060/x
  3. Step 3: Cross multiply
    178,372x = 276,060 × 276,060
  4. Step 4: Simplify right side
    178,372x = 76,209,123,600
  5. Step 5: Solve for x
    x = 76,209,123,600/178,372
  6. Step 6: Final answer
    x = 427,248.24

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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.