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Finding the Third Proportional to 69,237 and 151,287

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Solution

The third proportional to 69,237 and 151,287 is: 330,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,237 : 151,287 = 151,287 : x
  2. Step 2: Convert to fraction form
    69,237/151,287 = 151,287/x
  3. Step 3: Cross multiply
    69,237x = 151,287 × 151,287
  4. Step 4: Simplify right side
    69,237x = 22,887,756,369
  5. Step 5: Solve for x
    x = 22,887,756,369/69,237
  6. Step 6: Final answer
    x = 330,571.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.