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Finding the Third Proportional to 199,632 and 219,315

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Solution

The third proportional to 199,632 and 219,315 is: 240,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,632 : 219,315 = 219,315 : x
  2. Step 2: Convert to fraction form
    199,632/219,315 = 219,315/x
  3. Step 3: Cross multiply
    199,632x = 219,315 × 219,315
  4. Step 4: Simplify right side
    199,632x = 48,099,069,225
  5. Step 5: Solve for x
    x = 48,099,069,225/199,632
  6. Step 6: Final answer
    x = 240,938.67

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.