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Finding the Third Proportional to 288,947.25 and 383,400

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Solution

The third proportional to 288,947.25 and 383,400 is: 508,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,947.25 : 383,400 = 383,400 : x
  2. Step 2: Convert to fraction form
    288,947.25/383,400 = 383,400/x
  3. Step 3: Cross multiply
    288,947.25x = 383,400 × 383,400
  4. Step 4: Simplify right side
    288,947.25x = 146,995,560,000
  5. Step 5: Solve for x
    x = 146,995,560,000/288,947.25
  6. Step 6: Final answer
    x = 508,728.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.