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Finding the Third Proportional to 266,720 and 629,608

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Solution

The third proportional to 266,720 and 629,608 is: 1,486,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,720 : 629,608 = 629,608 : x
  2. Step 2: Convert to fraction form
    266,720/629,608 = 629,608/x
  3. Step 3: Cross multiply
    266,720x = 629,608 × 629,608
  4. Step 4: Simplify right side
    266,720x = 396,406,233,664
  5. Step 5: Solve for x
    x = 396,406,233,664/266,720
  6. Step 6: Final answer
    x = 1,486,226.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.