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Finding the Third Proportional to 250,288 and 518,318

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Solution

The third proportional to 250,288 and 518,318 is: 1,073,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,288 : 518,318 = 518,318 : x
  2. Step 2: Convert to fraction form
    250,288/518,318 = 518,318/x
  3. Step 3: Cross multiply
    250,288x = 518,318 × 518,318
  4. Step 4: Simplify right side
    250,288x = 268,653,549,124
  5. Step 5: Solve for x
    x = 268,653,549,124/250,288
  6. Step 6: Final answer
    x = 1,073,377.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.