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Finding the Third Proportional to 78,381 and 121,405.50

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Solution

The third proportional to 78,381 and 121,405.50 is: 188,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,381 : 121,405.50 = 121,405.50 : x
  2. Step 2: Convert to fraction form
    78,381/121,405.50 = 121,405.50/x
  3. Step 3: Cross multiply
    78,381x = 121,405.50 × 121,405.50
  4. Step 4: Simplify right side
    78,381x = 14,739,295,430.25
  5. Step 5: Solve for x
    x = 14,739,295,430.25/78,381
  6. Step 6: Final answer
    x = 188,046.79

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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.