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Finding the Third Proportional to 343,447 and 755,402

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Solution

The third proportional to 343,447 and 755,402 is: 1,661,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,447 : 755,402 = 755,402 : x
  2. Step 2: Convert to fraction form
    343,447/755,402 = 755,402/x
  3. Step 3: Cross multiply
    343,447x = 755,402 × 755,402
  4. Step 4: Simplify right side
    343,447x = 570,632,181,604
  5. Step 5: Solve for x
    x = 570,632,181,604/343,447
  6. Step 6: Final answer
    x = 1,661,485.42

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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.