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Finding the Third Proportional to 121,266 and 261,890

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Solution

The third proportional to 121,266 and 261,890 is: 565,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,266 : 261,890 = 261,890 : x
  2. Step 2: Convert to fraction form
    121,266/261,890 = 261,890/x
  3. Step 3: Cross multiply
    121,266x = 261,890 × 261,890
  4. Step 4: Simplify right side
    121,266x = 68,586,372,100
  5. Step 5: Solve for x
    x = 68,586,372,100/121,266
  6. Step 6: Final answer
    x = 565,586.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.