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Finding the Third Proportional to 178,538 and 276,451

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Solution

The third proportional to 178,538 and 276,451 is: 428,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,538 : 276,451 = 276,451 : x
  2. Step 2: Convert to fraction form
    178,538/276,451 = 276,451/x
  3. Step 3: Cross multiply
    178,538x = 276,451 × 276,451
  4. Step 4: Simplify right side
    178,538x = 76,425,155,401
  5. Step 5: Solve for x
    x = 76,425,155,401/178,538
  6. Step 6: Final answer
    x = 428,061.00

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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.