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Finding the Third Proportional to 84,028.50 and 133,119

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Solution

The third proportional to 84,028.50 and 133,119 is: 210,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,028.50 : 133,119 = 133,119 : x
  2. Step 2: Convert to fraction form
    84,028.50/133,119 = 133,119/x
  3. Step 3: Cross multiply
    84,028.50x = 133,119 × 133,119
  4. Step 4: Simplify right side
    84,028.50x = 17,720,668,161
  5. Step 5: Solve for x
    x = 17,720,668,161/84,028.50
  6. Step 6: Final answer
    x = 210,888.78

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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.