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Finding the Third Proportional to 31,623 and 66,729

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Solution

The third proportional to 31,623 and 66,729 is: 140,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,623 : 66,729 = 66,729 : x
  2. Step 2: Convert to fraction form
    31,623/66,729 = 66,729/x
  3. Step 3: Cross multiply
    31,623x = 66,729 × 66,729
  4. Step 4: Simplify right side
    31,623x = 4,452,759,441
  5. Step 5: Solve for x
    x = 4,452,759,441/31,623
  6. Step 6: Final answer
    x = 140,807.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.