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Finding the Third Proportional to 150,861 and 207,812

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Solution

The third proportional to 150,861 and 207,812 is: 286,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,861 : 207,812 = 207,812 : x
  2. Step 2: Convert to fraction form
    150,861/207,812 = 207,812/x
  3. Step 3: Cross multiply
    150,861x = 207,812 × 207,812
  4. Step 4: Simplify right side
    150,861x = 43,185,827,344
  5. Step 5: Solve for x
    x = 43,185,827,344/150,861
  6. Step 6: Final answer
    x = 286,262.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.