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Finding the Third Proportional to 15,703.88 and 18,174.38

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Solution

The third proportional to 15,703.88 and 18,174.38 is: 21,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.88 : 18,174.38 = 18,174.38 : x
  2. Step 2: Convert to fraction form
    15,703.88/18,174.38 = 18,174.38/x
  3. Step 3: Cross multiply
    15,703.88x = 18,174.38 × 18,174.38
  4. Step 4: Simplify right side
    15,703.88x = 330,307,906.64
  5. Step 5: Solve for x
    x = 330,307,906.64/15,703.88
  6. Step 6: Final answer
    x = 21,033.53

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.