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Finding the Third Proportional to 150,859 and 207,809

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Solution

The third proportional to 150,859 and 207,809 is: 286,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,859 : 207,809 = 207,809 : x
  2. Step 2: Convert to fraction form
    150,859/207,809 = 207,809/x
  3. Step 3: Cross multiply
    150,859x = 207,809 × 207,809
  4. Step 4: Simplify right side
    150,859x = 43,184,580,481
  5. Step 5: Solve for x
    x = 43,184,580,481/150,859
  6. Step 6: Final answer
    x = 286,257.90

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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.