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Finding the Third Proportional to 18,681.75 and 38,638.13

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Solution

The third proportional to 18,681.75 and 38,638.13 is: 79,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.75 : 38,638.13 = 38,638.13 : x
  2. Step 2: Convert to fraction form
    18,681.75/38,638.13 = 38,638.13/x
  3. Step 3: Cross multiply
    18,681.75x = 38,638.13 × 38,638.13
  4. Step 4: Simplify right side
    18,681.75x = 1,492,904,703.52
  5. Step 5: Solve for x
    x = 1,492,904,703.52/18,681.75
  6. Step 6: Final answer
    x = 79,912.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.