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Finding the Third Proportional to 121,218 and 259,284

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Solution

The third proportional to 121,218 and 259,284 is: 554,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,218 : 259,284 = 259,284 : x
  2. Step 2: Convert to fraction form
    121,218/259,284 = 259,284/x
  3. Step 3: Cross multiply
    121,218x = 259,284 × 259,284
  4. Step 4: Simplify right side
    121,218x = 67,228,192,656
  5. Step 5: Solve for x
    x = 67,228,192,656/121,218
  6. Step 6: Final answer
    x = 554,605.69

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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.