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Finding the Third Proportional to 207,396 and 320,814

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Solution

The third proportional to 207,396 and 320,814 is: 496,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,396 : 320,814 = 320,814 : x
  2. Step 2: Convert to fraction form
    207,396/320,814 = 320,814/x
  3. Step 3: Cross multiply
    207,396x = 320,814 × 320,814
  4. Step 4: Simplify right side
    207,396x = 102,921,622,596
  5. Step 5: Solve for x
    x = 102,921,622,596/207,396
  6. Step 6: Final answer
    x = 496,256.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.