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Finding the Third Proportional to 178,446.38 and 276,726.38

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Solution

The third proportional to 178,446.38 and 276,726.38 is: 429,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,446.38 : 276,726.38 = 276,726.38 : x
  2. Step 2: Convert to fraction form
    178,446.38/276,726.38 = 276,726.38/x
  3. Step 3: Cross multiply
    178,446.38x = 276,726.38 × 276,726.38
  4. Step 4: Simplify right side
    178,446.38x = 76,577,486,620.64
  5. Step 5: Solve for x
    x = 76,577,486,620.64/178,446.38
  6. Step 6: Final answer
    x = 429,134.45

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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.