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Finding the Third Proportional to 150,863 and 207,815

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Solution

The third proportional to 150,863 and 207,815 is: 286,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,863 : 207,815 = 207,815 : x
  2. Step 2: Convert to fraction form
    150,863/207,815 = 207,815/x
  3. Step 3: Cross multiply
    150,863x = 207,815 × 207,815
  4. Step 4: Simplify right side
    150,863x = 43,187,074,225
  5. Step 5: Solve for x
    x = 43,187,074,225/150,863
  6. Step 6: Final answer
    x = 286,266.84

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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.