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Finding the Third Proportional to 47,040 and 68,760

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Solution

The third proportional to 47,040 and 68,760 is: 100,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,040 : 68,760 = 68,760 : x
  2. Step 2: Convert to fraction form
    47,040/68,760 = 68,760/x
  3. Step 3: Cross multiply
    47,040x = 68,760 × 68,760
  4. Step 4: Simplify right side
    47,040x = 4,727,937,600
  5. Step 5: Solve for x
    x = 4,727,937,600/47,040
  6. Step 6: Final answer
    x = 100,508.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.