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Finding the Third Proportional to 342,491 and 743,342

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Solution

The third proportional to 342,491 and 743,342 is: 1,613,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,491 : 743,342 = 743,342 : x
  2. Step 2: Convert to fraction form
    342,491/743,342 = 743,342/x
  3. Step 3: Cross multiply
    342,491x = 743,342 × 743,342
  4. Step 4: Simplify right side
    342,491x = 552,557,328,964
  5. Step 5: Solve for x
    x = 552,557,328,964/342,491
  6. Step 6: Final answer
    x = 1,613,348.46

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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.