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Finding the Third Proportional to 100,638 and 159,158

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Solution

The third proportional to 100,638 and 159,158 is: 251,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,638 : 159,158 = 159,158 : x
  2. Step 2: Convert to fraction form
    100,638/159,158 = 159,158/x
  3. Step 3: Cross multiply
    100,638x = 159,158 × 159,158
  4. Step 4: Simplify right side
    100,638x = 25,331,268,964
  5. Step 5: Solve for x
    x = 25,331,268,964/100,638
  6. Step 6: Final answer
    x = 251,706.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.