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Finding the Third Proportional to 391,092 and 558,195

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Solution

The third proportional to 391,092 and 558,195 is: 796,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,092 : 558,195 = 558,195 : x
  2. Step 2: Convert to fraction form
    391,092/558,195 = 558,195/x
  3. Step 3: Cross multiply
    391,092x = 558,195 × 558,195
  4. Step 4: Simplify right side
    391,092x = 311,581,658,025
  5. Step 5: Solve for x
    x = 311,581,658,025/391,092
  6. Step 6: Final answer
    x = 796,696.58

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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.