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Finding the Third Proportional to 266,895 and 415,651.50

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Solution

The third proportional to 266,895 and 415,651.50 is: 647,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,895 : 415,651.50 = 415,651.50 : x
  2. Step 2: Convert to fraction form
    266,895/415,651.50 = 415,651.50/x
  3. Step 3: Cross multiply
    266,895x = 415,651.50 × 415,651.50
  4. Step 4: Simplify right side
    266,895x = 172,766,169,452.25
  5. Step 5: Solve for x
    x = 172,766,169,452.25/266,895
  6. Step 6: Final answer
    x = 647,318.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.