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Finding the Third Proportional to 15,020 and 31,982

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Solution

The third proportional to 15,020 and 31,982 is: 68,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,020 : 31,982 = 31,982 : x
  2. Step 2: Convert to fraction form
    15,020/31,982 = 31,982/x
  3. Step 3: Cross multiply
    15,020x = 31,982 × 31,982
  4. Step 4: Simplify right side
    15,020x = 1,022,848,324
  5. Step 5: Solve for x
    x = 1,022,848,324/15,020
  6. Step 6: Final answer
    x = 68,099.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.