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Finding the Third Proportional to 36,222.19 and 77,800.50

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Solution

The third proportional to 36,222.19 and 77,800.50 is: 167,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222.19 : 77,800.50 = 77,800.50 : x
  2. Step 2: Convert to fraction form
    36,222.19/77,800.50 = 77,800.50/x
  3. Step 3: Cross multiply
    36,222.19x = 77,800.50 × 77,800.50
  4. Step 4: Simplify right side
    36,222.19x = 6,052,917,800.25
  5. Step 5: Solve for x
    x = 6,052,917,800.25/36,222.19
  6. Step 6: Final answer
    x = 167,105.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.