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Finding the Third Proportional to 31,011 and 66,927

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Solution

The third proportional to 31,011 and 66,927 is: 144,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011 : 66,927 = 66,927 : x
  2. Step 2: Convert to fraction form
    31,011/66,927 = 66,927/x
  3. Step 3: Cross multiply
    31,011x = 66,927 × 66,927
  4. Step 4: Simplify right side
    31,011x = 4,479,223,329
  5. Step 5: Solve for x
    x = 4,479,223,329/31,011
  6. Step 6: Final answer
    x = 144,439.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.