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Finding the Third Proportional to 343,718 and 755,142

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Solution

The third proportional to 343,718 and 755,142 is: 1,659,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,718 : 755,142 = 755,142 : x
  2. Step 2: Convert to fraction form
    343,718/755,142 = 755,142/x
  3. Step 3: Cross multiply
    343,718x = 755,142 × 755,142
  4. Step 4: Simplify right side
    343,718x = 570,239,440,164
  5. Step 5: Solve for x
    x = 570,239,440,164/343,718
  6. Step 6: Final answer
    x = 1,659,032.81

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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.