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Finding the Third Proportional to 132,156 and 212,791.50

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Solution

The third proportional to 132,156 and 212,791.50 is: 342,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,156 : 212,791.50 = 212,791.50 : x
  2. Step 2: Convert to fraction form
    132,156/212,791.50 = 212,791.50/x
  3. Step 3: Cross multiply
    132,156x = 212,791.50 × 212,791.50
  4. Step 4: Simplify right side
    132,156x = 45,280,222,472.25
  5. Step 5: Solve for x
    x = 45,280,222,472.25/132,156
  6. Step 6: Final answer
    x = 342,627.07

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