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Finding the Third Proportional to 21,134 and 31,785

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Solution

The third proportional to 21,134 and 31,785 is: 47,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134 : 31,785 = 31,785 : x
  2. Step 2: Convert to fraction form
    21,134/31,785 = 31,785/x
  3. Step 3: Cross multiply
    21,134x = 31,785 × 31,785
  4. Step 4: Simplify right side
    21,134x = 1,010,286,225
  5. Step 5: Solve for x
    x = 1,010,286,225/21,134
  6. Step 6: Final answer
    x = 47,803.83

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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.