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Finding the Third Proportional to 132,780 and 203,042

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Solution

The third proportional to 132,780 and 203,042 is: 310,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,780 : 203,042 = 203,042 : x
  2. Step 2: Convert to fraction form
    132,780/203,042 = 203,042/x
  3. Step 3: Cross multiply
    132,780x = 203,042 × 203,042
  4. Step 4: Simplify right side
    132,780x = 41,226,053,764
  5. Step 5: Solve for x
    x = 41,226,053,764/132,780
  6. Step 6: Final answer
    x = 310,483.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.