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Finding the Third Proportional to 285,810 and 639,282

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Solution

The third proportional to 285,810 and 639,282 is: 1,429,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,810 : 639,282 = 639,282 : x
  2. Step 2: Convert to fraction form
    285,810/639,282 = 639,282/x
  3. Step 3: Cross multiply
    285,810x = 639,282 × 639,282
  4. Step 4: Simplify right side
    285,810x = 408,681,475,524
  5. Step 5: Solve for x
    x = 408,681,475,524/285,810
  6. Step 6: Final answer
    x = 1,429,906.15

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.