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Finding the Third Proportional to 345,990 and 743,716

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Solution

The third proportional to 345,990 and 743,716 is: 1,598,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,990 : 743,716 = 743,716 : x
  2. Step 2: Convert to fraction form
    345,990/743,716 = 743,716/x
  3. Step 3: Cross multiply
    345,990x = 743,716 × 743,716
  4. Step 4: Simplify right side
    345,990x = 553,113,488,656
  5. Step 5: Solve for x
    x = 553,113,488,656/345,990
  6. Step 6: Final answer
    x = 1,598,640.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.