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Finding the Third Proportional to 311,958 and 687,468

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Solution

The third proportional to 311,958 and 687,468 is: 1,514,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,958 : 687,468 = 687,468 : x
  2. Step 2: Convert to fraction form
    311,958/687,468 = 687,468/x
  3. Step 3: Cross multiply
    311,958x = 687,468 × 687,468
  4. Step 4: Simplify right side
    311,958x = 472,612,251,024
  5. Step 5: Solve for x
    x = 472,612,251,024/311,958
  6. Step 6: Final answer
    x = 1,514,986.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.