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Finding the Third Proportional to 67,680 and 94,620

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Solution

The third proportional to 67,680 and 94,620 is: 132,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,680 : 94,620 = 94,620 : x
  2. Step 2: Convert to fraction form
    67,680/94,620 = 94,620/x
  3. Step 3: Cross multiply
    67,680x = 94,620 × 94,620
  4. Step 4: Simplify right side
    67,680x = 8,952,944,400
  5. Step 5: Solve for x
    x = 8,952,944,400/67,680
  6. Step 6: Final answer
    x = 132,283.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.