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Finding the Third Proportional to 31,216.50 and 66,807

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Solution

The third proportional to 31,216.50 and 66,807 is: 142,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.50 : 66,807 = 66,807 : x
  2. Step 2: Convert to fraction form
    31,216.50/66,807 = 66,807/x
  3. Step 3: Cross multiply
    31,216.50x = 66,807 × 66,807
  4. Step 4: Simplify right side
    31,216.50x = 4,463,175,249
  5. Step 5: Solve for x
    x = 4,463,175,249/31,216.50
  6. Step 6: Final answer
    x = 142,974.88

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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.