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Finding the Third Proportional to 33,207 and 77,788.50

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Solution

The third proportional to 33,207 and 77,788.50 is: 182,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207 : 77,788.50 = 77,788.50 : x
  2. Step 2: Convert to fraction form
    33,207/77,788.50 = 77,788.50/x
  3. Step 3: Cross multiply
    33,207x = 77,788.50 × 77,788.50
  4. Step 4: Simplify right side
    33,207x = 6,051,050,732.25
  5. Step 5: Solve for x
    x = 6,051,050,732.25/33,207
  6. Step 6: Final answer
    x = 182,222.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.