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Finding the Third Proportional to 288,570 and 639,414

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Solution

The third proportional to 288,570 and 639,414 is: 1,416,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,570 : 639,414 = 639,414 : x
  2. Step 2: Convert to fraction form
    288,570/639,414 = 639,414/x
  3. Step 3: Cross multiply
    288,570x = 639,414 × 639,414
  4. Step 4: Simplify right side
    288,570x = 408,850,263,396
  5. Step 5: Solve for x
    x = 408,850,263,396/288,570
  6. Step 6: Final answer
    x = 1,416,814.86

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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.