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Finding the Third Proportional to 78,284 and 121,266

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Solution

The third proportional to 78,284 and 121,266 is: 187,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284 : 121,266 = 121,266 : x
  2. Step 2: Convert to fraction form
    78,284/121,266 = 121,266/x
  3. Step 3: Cross multiply
    78,284x = 121,266 × 121,266
  4. Step 4: Simplify right side
    78,284x = 14,705,442,756
  5. Step 5: Solve for x
    x = 14,705,442,756/78,284
  6. Step 6: Final answer
    x = 187,847.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.