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Finding the Third Proportional to 266,853 and 405,778.50

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Solution

The third proportional to 266,853 and 405,778.50 is: 617,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,853 : 405,778.50 = 405,778.50 : x
  2. Step 2: Convert to fraction form
    266,853/405,778.50 = 405,778.50/x
  3. Step 3: Cross multiply
    266,853x = 405,778.50 × 405,778.50
  4. Step 4: Simplify right side
    266,853x = 164,656,191,062.25
  5. Step 5: Solve for x
    x = 164,656,191,062.25/266,853
  6. Step 6: Final answer
    x = 617,029.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.