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Finding the Third Proportional to 266,870 and 580,396

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Solution

The third proportional to 266,870 and 580,396 is: 1,262,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,870 : 580,396 = 580,396 : x
  2. Step 2: Convert to fraction form
    266,870/580,396 = 580,396/x
  3. Step 3: Cross multiply
    266,870x = 580,396 × 580,396
  4. Step 4: Simplify right side
    266,870x = 336,859,516,816
  5. Step 5: Solve for x
    x = 336,859,516,816/266,870
  6. Step 6: Final answer
    x = 1,262,260.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.