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Finding the Third Proportional to 263,432 and 407,514

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Solution

The third proportional to 263,432 and 407,514 is: 630,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,432 : 407,514 = 407,514 : x
  2. Step 2: Convert to fraction form
    263,432/407,514 = 407,514/x
  3. Step 3: Cross multiply
    263,432x = 407,514 × 407,514
  4. Step 4: Simplify right side
    263,432x = 166,067,660,196
  5. Step 5: Solve for x
    x = 166,067,660,196/263,432
  6. Step 6: Final answer
    x = 630,400.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.