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Finding the Third Proportional to 100,219 and 159,816

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Solution

The third proportional to 100,219 and 159,816 is: 254,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219 : 159,816 = 159,816 : x
  2. Step 2: Convert to fraction form
    100,219/159,816 = 159,816/x
  3. Step 3: Cross multiply
    100,219x = 159,816 × 159,816
  4. Step 4: Simplify right side
    100,219x = 25,541,153,856
  5. Step 5: Solve for x
    x = 25,541,153,856/100,219
  6. Step 6: Final answer
    x = 254,853.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.