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Finding the Third Proportional to 178,898 and 242,103

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Solution

The third proportional to 178,898 and 242,103 is: 327,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,898 : 242,103 = 242,103 : x
  2. Step 2: Convert to fraction form
    178,898/242,103 = 242,103/x
  3. Step 3: Cross multiply
    178,898x = 242,103 × 242,103
  4. Step 4: Simplify right side
    178,898x = 58,613,862,609
  5. Step 5: Solve for x
    x = 58,613,862,609/178,898
  6. Step 6: Final answer
    x = 327,638.45

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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.