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Finding the Third Proportional to 100,210 and 149,828

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Solution

The third proportional to 100,210 and 149,828 is: 224,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,210 : 149,828 = 149,828 : x
  2. Step 2: Convert to fraction form
    100,210/149,828 = 149,828/x
  3. Step 3: Cross multiply
    100,210x = 149,828 × 149,828
  4. Step 4: Simplify right side
    100,210x = 22,448,429,584
  5. Step 5: Solve for x
    x = 22,448,429,584/100,210
  6. Step 6: Final answer
    x = 224,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.