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Finding the Third Proportional to 19,986.75 and 31,353.75

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Solution

The third proportional to 19,986.75 and 31,353.75 is: 49,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986.75 : 31,353.75 = 31,353.75 : x
  2. Step 2: Convert to fraction form
    19,986.75/31,353.75 = 31,353.75/x
  3. Step 3: Cross multiply
    19,986.75x = 31,353.75 × 31,353.75
  4. Step 4: Simplify right side
    19,986.75x = 983,057,639.06
  5. Step 5: Solve for x
    x = 983,057,639.06/19,986.75
  6. Step 6: Final answer
    x = 49,185.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.