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Finding the Third Proportional to 100,288 and 149,336

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Solution

The third proportional to 100,288 and 149,336 is: 222,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288 : 149,336 = 149,336 : x
  2. Step 2: Convert to fraction form
    100,288/149,336 = 149,336/x
  3. Step 3: Cross multiply
    100,288x = 149,336 × 149,336
  4. Step 4: Simplify right side
    100,288x = 22,301,240,896
  5. Step 5: Solve for x
    x = 22,301,240,896/100,288
  6. Step 6: Final answer
    x = 222,371.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.