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Finding the Third Proportional to 250,911 and 393,552

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Solution

The third proportional to 250,911 and 393,552 is: 617,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,911 : 393,552 = 393,552 : x
  2. Step 2: Convert to fraction form
    250,911/393,552 = 393,552/x
  3. Step 3: Cross multiply
    250,911x = 393,552 × 393,552
  4. Step 4: Simplify right side
    250,911x = 154,883,176,704
  5. Step 5: Solve for x
    x = 154,883,176,704/250,911
  6. Step 6: Final answer
    x = 617,283.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.