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Finding the Third Proportional to 83,043 and 132,201

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Solution

The third proportional to 83,043 and 132,201 is: 210,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,043 : 132,201 = 132,201 : x
  2. Step 2: Convert to fraction form
    83,043/132,201 = 132,201/x
  3. Step 3: Cross multiply
    83,043x = 132,201 × 132,201
  4. Step 4: Simplify right side
    83,043x = 17,477,104,401
  5. Step 5: Solve for x
    x = 17,477,104,401/83,043
  6. Step 6: Final answer
    x = 210,458.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.