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Finding the Third Proportional to 100,119.38 and 154,971.56

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Solution

The third proportional to 100,119.38 and 154,971.56 is: 239,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,119.38 : 154,971.56 = 154,971.56 : x
  2. Step 2: Convert to fraction form
    100,119.38/154,971.56 = 154,971.56/x
  3. Step 3: Cross multiply
    100,119.38x = 154,971.56 × 154,971.56
  4. Step 4: Simplify right side
    100,119.38x = 24,016,185,183.69
  5. Step 5: Solve for x
    x = 24,016,185,183.69/100,119.38
  6. Step 6: Final answer
    x = 239,875.50

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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.