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Finding the Third Proportional to 248,340 and 380,514

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Solution

The third proportional to 248,340 and 380,514 is: 583,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,340 : 380,514 = 380,514 : x
  2. Step 2: Convert to fraction form
    248,340/380,514 = 380,514/x
  3. Step 3: Cross multiply
    248,340x = 380,514 × 380,514
  4. Step 4: Simplify right side
    248,340x = 144,790,904,196
  5. Step 5: Solve for x
    x = 144,790,904,196/248,340
  6. Step 6: Final answer
    x = 583,034.97

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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.