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Finding the Third Proportional to 33,212 and 78,143

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Solution

The third proportional to 33,212 and 78,143 is: 183,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212 : 78,143 = 78,143 : x
  2. Step 2: Convert to fraction form
    33,212/78,143 = 78,143/x
  3. Step 3: Cross multiply
    33,212x = 78,143 × 78,143
  4. Step 4: Simplify right side
    33,212x = 6,106,328,449
  5. Step 5: Solve for x
    x = 6,106,328,449/33,212
  6. Step 6: Final answer
    x = 183,859.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.