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Finding the Third Proportional to 266,712 and 412,704

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Solution

The third proportional to 266,712 and 412,704 is: 638,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,712 : 412,704 = 412,704 : x
  2. Step 2: Convert to fraction form
    266,712/412,704 = 412,704/x
  3. Step 3: Cross multiply
    266,712x = 412,704 × 412,704
  4. Step 4: Simplify right side
    266,712x = 170,324,591,616
  5. Step 5: Solve for x
    x = 170,324,591,616/266,712
  6. Step 6: Final answer
    x = 638,608.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.