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Finding the Third Proportional to 103,100 and 159,639

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Solution

The third proportional to 103,100 and 159,639 is: 247,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,100 : 159,639 = 159,639 : x
  2. Step 2: Convert to fraction form
    103,100/159,639 = 159,639/x
  3. Step 3: Cross multiply
    103,100x = 159,639 × 159,639
  4. Step 4: Simplify right side
    103,100x = 25,484,610,321
  5. Step 5: Solve for x
    x = 25,484,610,321/103,100
  6. Step 6: Final answer
    x = 247,183.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.