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Finding the Third Proportional to 192,934.50 and 275,213

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Solution

The third proportional to 192,934.50 and 275,213 is: 392,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,934.50 : 275,213 = 275,213 : x
  2. Step 2: Convert to fraction form
    192,934.50/275,213 = 275,213/x
  3. Step 3: Cross multiply
    192,934.50x = 275,213 × 275,213
  4. Step 4: Simplify right side
    192,934.50x = 75,742,195,369
  5. Step 5: Solve for x
    x = 75,742,195,369/192,934.50
  6. Step 6: Final answer
    x = 392,579.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.