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Finding the Third Proportional to 66,919.50 and 89,215

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Solution

The third proportional to 66,919.50 and 89,215 is: 118,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,919.50 : 89,215 = 89,215 : x
  2. Step 2: Convert to fraction form
    66,919.50/89,215 = 89,215/x
  3. Step 3: Cross multiply
    66,919.50x = 89,215 × 89,215
  4. Step 4: Simplify right side
    66,919.50x = 7,959,316,225
  5. Step 5: Solve for x
    x = 7,959,316,225/66,919.50
  6. Step 6: Final answer
    x = 118,938.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.