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Finding the Third Proportional to 266,742 and 412,893

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Solution

The third proportional to 266,742 and 412,893 is: 639,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,742 : 412,893 = 412,893 : x
  2. Step 2: Convert to fraction form
    266,742/412,893 = 412,893/x
  3. Step 3: Cross multiply
    266,742x = 412,893 × 412,893
  4. Step 4: Simplify right side
    266,742x = 170,480,629,449
  5. Step 5: Solve for x
    x = 170,480,629,449/266,742
  6. Step 6: Final answer
    x = 639,121.81

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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.