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Finding the Third Proportional to 218,214 and 296,215

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Solution

The third proportional to 218,214 and 296,215 is: 402,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,214 : 296,215 = 296,215 : x
  2. Step 2: Convert to fraction form
    218,214/296,215 = 296,215/x
  3. Step 3: Cross multiply
    218,214x = 296,215 × 296,215
  4. Step 4: Simplify right side
    218,214x = 87,743,326,225
  5. Step 5: Solve for x
    x = 87,743,326,225/218,214
  6. Step 6: Final answer
    x = 402,097.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.