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Finding the Third Proportional to 75,680 and 113,520

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Solution

The third proportional to 75,680 and 113,520 is: 170,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,680 : 113,520 = 113,520 : x
  2. Step 2: Convert to fraction form
    75,680/113,520 = 113,520/x
  3. Step 3: Cross multiply
    75,680x = 113,520 × 113,520
  4. Step 4: Simplify right side
    75,680x = 12,886,790,400
  5. Step 5: Solve for x
    x = 12,886,790,400/75,680
  6. Step 6: Final answer
    x = 170,280

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.