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Finding the Third Proportional to 61,680 and 120,288

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Solution

The third proportional to 61,680 and 120,288 is: 234,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,680 : 120,288 = 120,288 : x
  2. Step 2: Convert to fraction form
    61,680/120,288 = 120,288/x
  3. Step 3: Cross multiply
    61,680x = 120,288 × 120,288
  4. Step 4: Simplify right side
    61,680x = 14,469,202,944
  5. Step 5: Solve for x
    x = 14,469,202,944/61,680
  6. Step 6: Final answer
    x = 234,585.00

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.