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Finding the Third Proportional to 157,876 and 243,042

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Solution

The third proportional to 157,876 and 243,042 is: 374,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,876 : 243,042 = 243,042 : x
  2. Step 2: Convert to fraction form
    157,876/243,042 = 243,042/x
  3. Step 3: Cross multiply
    157,876x = 243,042 × 243,042
  4. Step 4: Simplify right side
    157,876x = 59,069,413,764
  5. Step 5: Solve for x
    x = 59,069,413,764/157,876
  6. Step 6: Final answer
    x = 374,150.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.