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Finding the Third Proportional to 31,533 and 52,221

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Solution

The third proportional to 31,533 and 52,221 is: 86,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533 : 52,221 = 52,221 : x
  2. Step 2: Convert to fraction form
    31,533/52,221 = 52,221/x
  3. Step 3: Cross multiply
    31,533x = 52,221 × 52,221
  4. Step 4: Simplify right side
    31,533x = 2,727,032,841
  5. Step 5: Solve for x
    x = 2,727,032,841/31,533
  6. Step 6: Final answer
    x = 86,481.87

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.