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Finding the Third Proportional to 180,956 and 266,171

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Solution

The third proportional to 180,956 and 266,171 is: 391,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956 : 266,171 = 266,171 : x
  2. Step 2: Convert to fraction form
    180,956/266,171 = 266,171/x
  3. Step 3: Cross multiply
    180,956x = 266,171 × 266,171
  4. Step 4: Simplify right side
    180,956x = 70,847,001,241
  5. Step 5: Solve for x
    x = 70,847,001,241/180,956
  6. Step 6: Final answer
    x = 391,515.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.