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Finding the Third Proportional to 272,023 and 408,718

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Solution

The third proportional to 272,023 and 408,718 is: 614,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,023 : 408,718 = 408,718 : x
  2. Step 2: Convert to fraction form
    272,023/408,718 = 408,718/x
  3. Step 3: Cross multiply
    272,023x = 408,718 × 408,718
  4. Step 4: Simplify right side
    272,023x = 167,050,403,524
  5. Step 5: Solve for x
    x = 167,050,403,524/272,023
  6. Step 6: Final answer
    x = 614,103.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.