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Finding the Third Proportional to 33,763.50 and 52,462.69

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Solution

The third proportional to 33,763.50 and 52,462.69 is: 81,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,763.50 : 52,462.69 = 52,462.69 : x
  2. Step 2: Convert to fraction form
    33,763.50/52,462.69 = 52,462.69/x
  3. Step 3: Cross multiply
    33,763.50x = 52,462.69 × 52,462.69
  4. Step 4: Simplify right side
    33,763.50x = 2,752,333,579.72
  5. Step 5: Solve for x
    x = 2,752,333,579.72/33,763.50
  6. Step 6: Final answer
    x = 81,518.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.