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Finding the Third Proportional to 251,508.38 and 380,514.38

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Solution

The third proportional to 251,508.38 and 380,514.38 is: 575,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,508.38 : 380,514.38 = 380,514.38 : x
  2. Step 2: Convert to fraction form
    251,508.38/380,514.38 = 380,514.38/x
  3. Step 3: Cross multiply
    251,508.38x = 380,514.38 × 380,514.38
  4. Step 4: Simplify right side
    251,508.38x = 144,791,189,581.64
  5. Step 5: Solve for x
    x = 144,791,189,581.64/251,508.38
  6. Step 6: Final answer
    x = 575,691.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.