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Finding the Third Proportional to 99,778.50 and 221,703.75

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Solution

The third proportional to 99,778.50 and 221,703.75 is: 492,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778.50 : 221,703.75 = 221,703.75 : x
  2. Step 2: Convert to fraction form
    99,778.50/221,703.75 = 221,703.75/x
  3. Step 3: Cross multiply
    99,778.50x = 221,703.75 × 221,703.75
  4. Step 4: Simplify right side
    99,778.50x = 49,152,552,764.06
  5. Step 5: Solve for x
    x = 49,152,552,764.06/99,778.50
  6. Step 6: Final answer
    x = 492,616.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.