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Finding the Third Proportional to 180,943 and 266,149

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Solution

The third proportional to 180,943 and 266,149 is: 391,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,943 : 266,149 = 266,149 : x
  2. Step 2: Convert to fraction form
    180,943/266,149 = 266,149/x
  3. Step 3: Cross multiply
    180,943x = 266,149 × 266,149
  4. Step 4: Simplify right side
    180,943x = 70,835,290,201
  5. Step 5: Solve for x
    x = 70,835,290,201/180,943
  6. Step 6: Final answer
    x = 391,478.48

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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.