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Finding the Third Proportional to 31,533 and 68,987

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Solution

The third proportional to 31,533 and 68,987 is: 150,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533 : 68,987 = 68,987 : x
  2. Step 2: Convert to fraction form
    31,533/68,987 = 68,987/x
  3. Step 3: Cross multiply
    31,533x = 68,987 × 68,987
  4. Step 4: Simplify right side
    31,533x = 4,759,206,169
  5. Step 5: Solve for x
    x = 4,759,206,169/31,533
  6. Step 6: Final answer
    x = 150,927.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.