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Finding the Third Proportional to 193,212 and 284,220.75

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Solution

The third proportional to 193,212 and 284,220.75 is: 418,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,212 : 284,220.75 = 284,220.75 : x
  2. Step 2: Convert to fraction form
    193,212/284,220.75 = 284,220.75/x
  3. Step 3: Cross multiply
    193,212x = 284,220.75 × 284,220.75
  4. Step 4: Simplify right side
    193,212x = 80,781,434,730.56
  5. Step 5: Solve for x
    x = 80,781,434,730.56/193,212
  6. Step 6: Final answer
    x = 418,097.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.