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Finding the Third Proportional to 31,872 and 70,035

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Solution

The third proportional to 31,872 and 70,035 is: 153,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872 : 70,035 = 70,035 : x
  2. Step 2: Convert to fraction form
    31,872/70,035 = 70,035/x
  3. Step 3: Cross multiply
    31,872x = 70,035 × 70,035
  4. Step 4: Simplify right side
    31,872x = 4,904,901,225
  5. Step 5: Solve for x
    x = 4,904,901,225/31,872
  6. Step 6: Final answer
    x = 153,893.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.