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Finding the Third Proportional to 359,756 and 781,720

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Solution

The third proportional to 359,756 and 781,720 is: 1,698,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,756 : 781,720 = 781,720 : x
  2. Step 2: Convert to fraction form
    359,756/781,720 = 781,720/x
  3. Step 3: Cross multiply
    359,756x = 781,720 × 781,720
  4. Step 4: Simplify right side
    359,756x = 611,086,158,400
  5. Step 5: Solve for x
    x = 611,086,158,400/359,756
  6. Step 6: Final answer
    x = 1,698,612.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.