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Finding the Third Proportional to 99,715.50 and 218,205

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Solution

The third proportional to 99,715.50 and 218,205 is: 477,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,715.50 : 218,205 = 218,205 : x
  2. Step 2: Convert to fraction form
    99,715.50/218,205 = 218,205/x
  3. Step 3: Cross multiply
    99,715.50x = 218,205 × 218,205
  4. Step 4: Simplify right side
    99,715.50x = 47,613,422,025
  5. Step 5: Solve for x
    x = 47,613,422,025/99,715.50
  6. Step 6: Final answer
    x = 477,492.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.