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Finding the Third Proportional to 121,206 and 259,260

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Solution

The third proportional to 121,206 and 259,260 is: 554,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,206 : 259,260 = 259,260 : x
  2. Step 2: Convert to fraction form
    121,206/259,260 = 259,260/x
  3. Step 3: Cross multiply
    121,206x = 259,260 × 259,260
  4. Step 4: Simplify right side
    121,206x = 67,215,747,600
  5. Step 5: Solve for x
    x = 67,215,747,600/121,206
  6. Step 6: Final answer
    x = 554,557.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.