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Finding the Third Proportional to 18,681.75 and 39,510

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Solution

The third proportional to 18,681.75 and 39,510 is: 83,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.75 : 39,510 = 39,510 : x
  2. Step 2: Convert to fraction form
    18,681.75/39,510 = 39,510/x
  3. Step 3: Cross multiply
    18,681.75x = 39,510 × 39,510
  4. Step 4: Simplify right side
    18,681.75x = 1,561,040,100
  5. Step 5: Solve for x
    x = 1,561,040,100/18,681.75
  6. Step 6: Final answer
    x = 83,559.63

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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.