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Finding the Third Proportional to 132,926 and 189,596

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Solution

The third proportional to 132,926 and 189,596 is: 270,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,926 : 189,596 = 189,596 : x
  2. Step 2: Convert to fraction form
    132,926/189,596 = 189,596/x
  3. Step 3: Cross multiply
    132,926x = 189,596 × 189,596
  4. Step 4: Simplify right side
    132,926x = 35,946,643,216
  5. Step 5: Solve for x
    x = 35,946,643,216/132,926
  6. Step 6: Final answer
    x = 270,425.98

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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.