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Finding the Third Proportional to 288,608 and 639,508

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Solution

The third proportional to 288,608 and 639,508 is: 1,417,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,608 : 639,508 = 639,508 : x
  2. Step 2: Convert to fraction form
    288,608/639,508 = 639,508/x
  3. Step 3: Cross multiply
    288,608x = 639,508 × 639,508
  4. Step 4: Simplify right side
    288,608x = 408,970,482,064
  5. Step 5: Solve for x
    x = 408,970,482,064/288,608
  6. Step 6: Final answer
    x = 1,417,044.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.