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Finding the Third Proportional to 250,287 and 518,316.75

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Solution

The third proportional to 250,287 and 518,316.75 is: 1,073,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,287 : 518,316.75 = 518,316.75 : x
  2. Step 2: Convert to fraction form
    250,287/518,316.75 = 518,316.75/x
  3. Step 3: Cross multiply
    250,287x = 518,316.75 × 518,316.75
  4. Step 4: Simplify right side
    250,287x = 268,652,253,330.56
  5. Step 5: Solve for x
    x = 268,652,253,330.56/250,287
  6. Step 6: Final answer
    x = 1,073,376.78

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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.