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Finding the Third Proportional to 266,716 and 412,854

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Solution

The third proportional to 266,716 and 412,854 is: 639,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,716 : 412,854 = 412,854 : x
  2. Step 2: Convert to fraction form
    266,716/412,854 = 412,854/x
  3. Step 3: Cross multiply
    266,716x = 412,854 × 412,854
  4. Step 4: Simplify right side
    266,716x = 170,448,425,316
  5. Step 5: Solve for x
    x = 170,448,425,316/266,716
  6. Step 6: Final answer
    x = 639,063.37

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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.