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Finding the Third Proportional to 288,604 and 393,162

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Solution

The third proportional to 288,604 and 393,162 is: 535,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,604 : 393,162 = 393,162 : x
  2. Step 2: Convert to fraction form
    288,604/393,162 = 393,162/x
  3. Step 3: Cross multiply
    288,604x = 393,162 × 393,162
  4. Step 4: Simplify right side
    288,604x = 154,576,358,244
  5. Step 5: Solve for x
    x = 154,576,358,244/288,604
  6. Step 6: Final answer
    x = 535,600.19

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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.