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Finding the Third Proportional to 31,824 and 66,262

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Solution

The third proportional to 31,824 and 66,262 is: 137,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824 : 66,262 = 66,262 : x
  2. Step 2: Convert to fraction form
    31,824/66,262 = 66,262/x
  3. Step 3: Cross multiply
    31,824x = 66,262 × 66,262
  4. Step 4: Simplify right side
    31,824x = 4,390,652,644
  5. Step 5: Solve for x
    x = 4,390,652,644/31,824
  6. Step 6: Final answer
    x = 137,966.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.