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Finding the Third Proportional to 31,175 and 66,727

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Solution

The third proportional to 31,175 and 66,727 is: 142,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175 : 66,727 = 66,727 : x
  2. Step 2: Convert to fraction form
    31,175/66,727 = 66,727/x
  3. Step 3: Cross multiply
    31,175x = 66,727 × 66,727
  4. Step 4: Simplify right side
    31,175x = 4,452,492,529
  5. Step 5: Solve for x
    x = 4,452,492,529/31,175
  6. Step 6: Final answer
    x = 142,822.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.