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Finding the Third Proportional to 119,814 and 259,284

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Solution

The third proportional to 119,814 and 259,284 is: 561,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,814 : 259,284 = 259,284 : x
  2. Step 2: Convert to fraction form
    119,814/259,284 = 259,284/x
  3. Step 3: Cross multiply
    119,814x = 259,284 × 259,284
  4. Step 4: Simplify right side
    119,814x = 67,228,192,656
  5. Step 5: Solve for x
    x = 67,228,192,656/119,814
  6. Step 6: Final answer
    x = 561,104.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.