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Finding the Third Proportional to 192,478.50 and 418,822.50

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Solution

The third proportional to 192,478.50 and 418,822.50 is: 911,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,478.50 : 418,822.50 = 418,822.50 : x
  2. Step 2: Convert to fraction form
    192,478.50/418,822.50 = 418,822.50/x
  3. Step 3: Cross multiply
    192,478.50x = 418,822.50 × 418,822.50
  4. Step 4: Simplify right side
    192,478.50x = 175,412,286,506.25
  5. Step 5: Solve for x
    x = 175,412,286,506.25/192,478.50
  6. Step 6: Final answer
    x = 911,334.44

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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.