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Finding the Third Proportional to 142,890 and 311,177

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Solution

The third proportional to 142,890 and 311,177 is: 677,662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,890 : 311,177 = 311,177 : x
  2. Step 2: Convert to fraction form
    142,890/311,177 = 311,177/x
  3. Step 3: Cross multiply
    142,890x = 311,177 × 311,177
  4. Step 4: Simplify right side
    142,890x = 96,831,125,329
  5. Step 5: Solve for x
    x = 96,831,125,329/142,890
  6. Step 6: Final answer
    x = 677,662.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.