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Finding the Third Proportional to 266,508 and 405,220

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Solution

The third proportional to 266,508 and 405,220 is: 616,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,508 : 405,220 = 405,220 : x
  2. Step 2: Convert to fraction form
    266,508/405,220 = 405,220/x
  3. Step 3: Cross multiply
    266,508x = 405,220 × 405,220
  4. Step 4: Simplify right side
    266,508x = 164,203,248,400
  5. Step 5: Solve for x
    x = 164,203,248,400/266,508
  6. Step 6: Final answer
    x = 616,128.78

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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.