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Finding the Third Proportional to 207,981 and 313,443

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Solution

The third proportional to 207,981 and 313,443 is: 472,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,981 : 313,443 = 313,443 : x
  2. Step 2: Convert to fraction form
    207,981/313,443 = 313,443/x
  3. Step 3: Cross multiply
    207,981x = 313,443 × 313,443
  4. Step 4: Simplify right side
    207,981x = 98,246,514,249
  5. Step 5: Solve for x
    x = 98,246,514,249/207,981
  6. Step 6: Final answer
    x = 472,382.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.