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Finding the Third Proportional to 266,768.25 and 406,926

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Solution

The third proportional to 266,768.25 and 406,926 is: 620,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,768.25 : 406,926 = 406,926 : x
  2. Step 2: Convert to fraction form
    266,768.25/406,926 = 406,926/x
  3. Step 3: Cross multiply
    266,768.25x = 406,926 × 406,926
  4. Step 4: Simplify right side
    266,768.25x = 165,588,769,476
  5. Step 5: Solve for x
    x = 165,588,769,476/266,768.25
  6. Step 6: Final answer
    x = 620,721.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.