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Finding the Third Proportional to 340,456 and 748,448

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Solution

The third proportional to 340,456 and 748,448 is: 1,645,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,456 : 748,448 = 748,448 : x
  2. Step 2: Convert to fraction form
    340,456/748,448 = 748,448/x
  3. Step 3: Cross multiply
    340,456x = 748,448 × 748,448
  4. Step 4: Simplify right side
    340,456x = 560,174,408,704
  5. Step 5: Solve for x
    x = 560,174,408,704/340,456
  6. Step 6: Final answer
    x = 1,645,365.07

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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.