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Finding the Third Proportional to 121,697 and 266,334

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Solution

The third proportional to 121,697 and 266,334 is: 582,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,697 : 266,334 = 266,334 : x
  2. Step 2: Convert to fraction form
    121,697/266,334 = 266,334/x
  3. Step 3: Cross multiply
    121,697x = 266,334 × 266,334
  4. Step 4: Simplify right side
    121,697x = 70,933,799,556
  5. Step 5: Solve for x
    x = 70,933,799,556/121,697
  6. Step 6: Final answer
    x = 582,872.21

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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.