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Finding the Third Proportional to 121,320 and 255,208

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Solution

The third proportional to 121,320 and 255,208 is: 536,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,320 : 255,208 = 255,208 : x
  2. Step 2: Convert to fraction form
    121,320/255,208 = 255,208/x
  3. Step 3: Cross multiply
    121,320x = 255,208 × 255,208
  4. Step 4: Simplify right side
    121,320x = 65,131,123,264
  5. Step 5: Solve for x
    x = 65,131,123,264/121,320
  6. Step 6: Final answer
    x = 536,853.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.