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Finding the Third Proportional to 288,572 and 639,418

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Solution

The third proportional to 288,572 and 639,418 is: 1,416,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,572 : 639,418 = 639,418 : x
  2. Step 2: Convert to fraction form
    288,572/639,418 = 639,418/x
  3. Step 3: Cross multiply
    288,572x = 639,418 × 639,418
  4. Step 4: Simplify right side
    288,572x = 408,855,378,724
  5. Step 5: Solve for x
    x = 408,855,378,724/288,572
  6. Step 6: Final answer
    x = 1,416,822.76

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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.