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Finding the Third Proportional to 69,307 and 150,269

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Solution

The third proportional to 69,307 and 150,269 is: 325,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,307 : 150,269 = 150,269 : x
  2. Step 2: Convert to fraction form
    69,307/150,269 = 150,269/x
  3. Step 3: Cross multiply
    69,307x = 150,269 × 150,269
  4. Step 4: Simplify right side
    69,307x = 22,580,772,361
  5. Step 5: Solve for x
    x = 22,580,772,361/69,307
  6. Step 6: Final answer
    x = 325,807.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.