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Finding the Third Proportional to 178,771 and 276,986

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Solution

The third proportional to 178,771 and 276,986 is: 429,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,771 : 276,986 = 276,986 : x
  2. Step 2: Convert to fraction form
    178,771/276,986 = 276,986/x
  3. Step 3: Cross multiply
    178,771x = 276,986 × 276,986
  4. Step 4: Simplify right side
    178,771x = 76,721,244,196
  5. Step 5: Solve for x
    x = 76,721,244,196/178,771
  6. Step 6: Final answer
    x = 429,159.34

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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.