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Finding the Third Proportional to 343,689 and 754,620

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Solution

The third proportional to 343,689 and 754,620 is: 1,656,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,689 : 754,620 = 754,620 : x
  2. Step 2: Convert to fraction form
    343,689/754,620 = 754,620/x
  3. Step 3: Cross multiply
    343,689x = 754,620 × 754,620
  4. Step 4: Simplify right side
    343,689x = 569,451,344,400
  5. Step 5: Solve for x
    x = 569,451,344,400/343,689
  6. Step 6: Final answer
    x = 1,656,879.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.