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Finding the Third Proportional to 121,068 and 256,556

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Solution

The third proportional to 121,068 and 256,556 is: 543,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,068 : 256,556 = 256,556 : x
  2. Step 2: Convert to fraction form
    121,068/256,556 = 256,556/x
  3. Step 3: Cross multiply
    121,068x = 256,556 × 256,556
  4. Step 4: Simplify right side
    121,068x = 65,820,981,136
  5. Step 5: Solve for x
    x = 65,820,981,136/121,068
  6. Step 6: Final answer
    x = 543,669.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.