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Finding the Third Proportional to 132,181 and 212,783

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Solution

The third proportional to 132,181 and 212,783 is: 342,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,181 : 212,783 = 212,783 : x
  2. Step 2: Convert to fraction form
    132,181/212,783 = 212,783/x
  3. Step 3: Cross multiply
    132,181x = 212,783 × 212,783
  4. Step 4: Simplify right side
    132,181x = 45,276,605,089
  5. Step 5: Solve for x
    x = 45,276,605,089/132,181
  6. Step 6: Final answer
    x = 342,534.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.