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Finding the Third Proportional to 121,626 and 266,161

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Solution

The third proportional to 121,626 and 266,161 is: 582,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,626 : 266,161 = 266,161 : x
  2. Step 2: Convert to fraction form
    121,626/266,161 = 266,161/x
  3. Step 3: Cross multiply
    121,626x = 266,161 × 266,161
  4. Step 4: Simplify right side
    121,626x = 70,841,677,921
  5. Step 5: Solve for x
    x = 70,841,677,921/121,626
  6. Step 6: Final answer
    x = 582,455.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.