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Finding the Third Proportional to 408,060 and 573,620

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Solution

The third proportional to 408,060 and 573,620 is: 806,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,060 : 573,620 = 573,620 : x
  2. Step 2: Convert to fraction form
    408,060/573,620 = 573,620/x
  3. Step 3: Cross multiply
    408,060x = 573,620 × 573,620
  4. Step 4: Simplify right side
    408,060x = 329,039,904,400
  5. Step 5: Solve for x
    x = 329,039,904,400/408,060
  6. Step 6: Final answer
    x = 806,351.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.