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Finding the Third Proportional to 343,424 and 752,456

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Solution

The third proportional to 343,424 and 752,456 is: 1,648,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,424 : 752,456 = 752,456 : x
  2. Step 2: Convert to fraction form
    343,424/752,456 = 752,456/x
  3. Step 3: Cross multiply
    343,424x = 752,456 × 752,456
  4. Step 4: Simplify right side
    343,424x = 566,190,031,936
  5. Step 5: Solve for x
    x = 566,190,031,936/343,424
  6. Step 6: Final answer
    x = 1,648,661.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.