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Finding the Third Proportional to 18,721.13 and 31,191.75

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Solution

The third proportional to 18,721.13 and 31,191.75 is: 51,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,721.13 : 31,191.75 = 31,191.75 : x
  2. Step 2: Convert to fraction form
    18,721.13/31,191.75 = 31,191.75/x
  3. Step 3: Cross multiply
    18,721.13x = 31,191.75 × 31,191.75
  4. Step 4: Simplify right side
    18,721.13x = 972,925,268.06
  5. Step 5: Solve for x
    x = 972,925,268.06/18,721.13
  6. Step 6: Final answer
    x = 51,969.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.