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Finding the Third Proportional to 288,576 and 393,120

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Solution

The third proportional to 288,576 and 393,120 is: 535,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,576 : 393,120 = 393,120 : x
  2. Step 2: Convert to fraction form
    288,576/393,120 = 393,120/x
  3. Step 3: Cross multiply
    288,576x = 393,120 × 393,120
  4. Step 4: Simplify right side
    288,576x = 154,543,334,400
  5. Step 5: Solve for x
    x = 154,543,334,400/288,576
  6. Step 6: Final answer
    x = 535,537.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.