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Finding the Third Proportional to 239,231 and 385,453.50

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Solution

The third proportional to 239,231 and 385,453.50 is: 621,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,231 : 385,453.50 = 385,453.50 : x
  2. Step 2: Convert to fraction form
    239,231/385,453.50 = 385,453.50/x
  3. Step 3: Cross multiply
    239,231x = 385,453.50 × 385,453.50
  4. Step 4: Simplify right side
    239,231x = 148,574,400,662.25
  5. Step 5: Solve for x
    x = 148,574,400,662.25/239,231
  6. Step 6: Final answer
    x = 621,049.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.