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Finding the Third Proportional to 84,433.50 and 133,697.25

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Solution

The third proportional to 84,433.50 and 133,697.25 is: 211,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,433.50 : 133,697.25 = 133,697.25 : x
  2. Step 2: Convert to fraction form
    84,433.50/133,697.25 = 133,697.25/x
  3. Step 3: Cross multiply
    84,433.50x = 133,697.25 × 133,697.25
  4. Step 4: Simplify right side
    84,433.50x = 17,874,954,657.56
  5. Step 5: Solve for x
    x = 17,874,954,657.56/84,433.50
  6. Step 6: Final answer
    x = 211,704.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.