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Finding the Third Proportional to 31,785 and 69,927

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Solution

The third proportional to 31,785 and 69,927 is: 153,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785 : 69,927 = 69,927 : x
  2. Step 2: Convert to fraction form
    31,785/69,927 = 69,927/x
  3. Step 3: Cross multiply
    31,785x = 69,927 × 69,927
  4. Step 4: Simplify right side
    31,785x = 4,889,785,329
  5. Step 5: Solve for x
    x = 4,889,785,329/31,785
  6. Step 6: Final answer
    x = 153,839.40

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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.