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Finding the Third Proportional to 343,074 and 490,149

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Solution

The third proportional to 343,074 and 490,149 is: 700,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,074 : 490,149 = 490,149 : x
  2. Step 2: Convert to fraction form
    343,074/490,149 = 490,149/x
  3. Step 3: Cross multiply
    343,074x = 490,149 × 490,149
  4. Step 4: Simplify right side
    343,074x = 240,246,042,201
  5. Step 5: Solve for x
    x = 240,246,042,201/343,074
  6. Step 6: Final answer
    x = 700,274.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.