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Finding the Third Proportional to 99,915.50 and 218,135

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Solution

The third proportional to 99,915.50 and 218,135 is: 476,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,915.50 : 218,135 = 218,135 : x
  2. Step 2: Convert to fraction form
    99,915.50/218,135 = 218,135/x
  3. Step 3: Cross multiply
    99,915.50x = 218,135 × 218,135
  4. Step 4: Simplify right side
    99,915.50x = 47,582,878,225
  5. Step 5: Solve for x
    x = 47,582,878,225/99,915.50
  6. Step 6: Final answer
    x = 476,231.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.