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Finding the Third Proportional to 121,500 and 256,203

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Solution

The third proportional to 121,500 and 256,203 is: 540,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,500 : 256,203 = 256,203 : x
  2. Step 2: Convert to fraction form
    121,500/256,203 = 256,203/x
  3. Step 3: Cross multiply
    121,500x = 256,203 × 256,203
  4. Step 4: Simplify right side
    121,500x = 65,639,977,209
  5. Step 5: Solve for x
    x = 65,639,977,209/121,500
  6. Step 6: Final answer
    x = 540,246.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.