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Finding the Third Proportional to 192,915.50 and 423,182

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Solution

The third proportional to 192,915.50 and 423,182 is: 928,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,915.50 : 423,182 = 423,182 : x
  2. Step 2: Convert to fraction form
    192,915.50/423,182 = 423,182/x
  3. Step 3: Cross multiply
    192,915.50x = 423,182 × 423,182
  4. Step 4: Simplify right side
    192,915.50x = 179,083,005,124
  5. Step 5: Solve for x
    x = 179,083,005,124/192,915.50
  6. Step 6: Final answer
    x = 928,297.65

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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.