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Finding the Third Proportional to 121,284 and 283,278

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Solution

The third proportional to 121,284 and 283,278 is: 661,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,284 : 283,278 = 283,278 : x
  2. Step 2: Convert to fraction form
    121,284/283,278 = 283,278/x
  3. Step 3: Cross multiply
    121,284x = 283,278 × 283,278
  4. Step 4: Simplify right side
    121,284x = 80,246,425,284
  5. Step 5: Solve for x
    x = 80,246,425,284/121,284
  6. Step 6: Final answer
    x = 661,640.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.