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Finding the Third Proportional to 107,811 and 154,377

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Solution

The third proportional to 107,811 and 154,377 is: 221,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,811 : 154,377 = 154,377 : x
  2. Step 2: Convert to fraction form
    107,811/154,377 = 154,377/x
  3. Step 3: Cross multiply
    107,811x = 154,377 × 154,377
  4. Step 4: Simplify right side
    107,811x = 23,832,258,129
  5. Step 5: Solve for x
    x = 23,832,258,129/107,811
  6. Step 6: Final answer
    x = 221,055.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.