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Finding the Third Proportional to 121,215 and 259,278

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Solution

The third proportional to 121,215 and 259,278 is: 554,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,215 : 259,278 = 259,278 : x
  2. Step 2: Convert to fraction form
    121,215/259,278 = 259,278/x
  3. Step 3: Cross multiply
    121,215x = 259,278 × 259,278
  4. Step 4: Simplify right side
    121,215x = 67,225,081,284
  5. Step 5: Solve for x
    x = 67,225,081,284/121,215
  6. Step 6: Final answer
    x = 554,593.75

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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.