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Finding the Third Proportional to 266,015 and 408,889

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Solution

The third proportional to 266,015 and 408,889 is: 628,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,015 : 408,889 = 408,889 : x
  2. Step 2: Convert to fraction form
    266,015/408,889 = 408,889/x
  3. Step 3: Cross multiply
    266,015x = 408,889 × 408,889
  4. Step 4: Simplify right side
    266,015x = 167,190,214,321
  5. Step 5: Solve for x
    x = 167,190,214,321/266,015
  6. Step 6: Final answer
    x = 628,499.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.