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Finding the Third Proportional to 91,990.69 and 159,309.28

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Solution

The third proportional to 91,990.69 and 159,309.28 is: 275,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,990.69 : 159,309.28 = 159,309.28 : x
  2. Step 2: Convert to fraction form
    91,990.69/159,309.28 = 159,309.28/x
  3. Step 3: Cross multiply
    91,990.69x = 159,309.28 × 159,309.28
  4. Step 4: Simplify right side
    91,990.69x = 25,379,447,092.39
  5. Step 5: Solve for x
    x = 25,379,447,092.39/91,990.69
  6. Step 6: Final answer
    x = 275,891.48

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.