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Finding the Third Proportional to 90,823.50 and 134,939.25

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Solution

The third proportional to 90,823.50 and 134,939.25 is: 200,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,823.50 : 134,939.25 = 134,939.25 : x
  2. Step 2: Convert to fraction form
    90,823.50/134,939.25 = 134,939.25/x
  3. Step 3: Cross multiply
    90,823.50x = 134,939.25 × 134,939.25
  4. Step 4: Simplify right side
    90,823.50x = 18,208,601,190.56
  5. Step 5: Solve for x
    x = 18,208,601,190.56/90,823.50
  6. Step 6: Final answer
    x = 200,483.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.