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Finding the Third Proportional to 177,820 and 266,102

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Solution

The third proportional to 177,820 and 266,102 is: 398,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,820 : 266,102 = 266,102 : x
  2. Step 2: Convert to fraction form
    177,820/266,102 = 266,102/x
  3. Step 3: Cross multiply
    177,820x = 266,102 × 266,102
  4. Step 4: Simplify right side
    177,820x = 70,810,274,404
  5. Step 5: Solve for x
    x = 70,810,274,404/177,820
  6. Step 6: Final answer
    x = 398,213.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.