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Finding the Third Proportional to 91,163.50 and 138,003

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Solution

The third proportional to 91,163.50 and 138,003 is: 208,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,163.50 : 138,003 = 138,003 : x
  2. Step 2: Convert to fraction form
    91,163.50/138,003 = 138,003/x
  3. Step 3: Cross multiply
    91,163.50x = 138,003 × 138,003
  4. Step 4: Simplify right side
    91,163.50x = 19,044,828,009
  5. Step 5: Solve for x
    x = 19,044,828,009/91,163.50
  6. Step 6: Final answer
    x = 208,908.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.