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Finding the Third Proportional to 178,876 and 242,070

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Solution

The third proportional to 178,876 and 242,070 is: 327,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,876 : 242,070 = 242,070 : x
  2. Step 2: Convert to fraction form
    178,876/242,070 = 242,070/x
  3. Step 3: Cross multiply
    178,876x = 242,070 × 242,070
  4. Step 4: Simplify right side
    178,876x = 58,597,884,900
  5. Step 5: Solve for x
    x = 58,597,884,900/178,876
  6. Step 6: Final answer
    x = 327,589.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.