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Finding the Third Proportional to 132,145 and 201,315

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Solution

The third proportional to 132,145 and 201,315 is: 306,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,145 : 201,315 = 201,315 : x
  2. Step 2: Convert to fraction form
    132,145/201,315 = 201,315/x
  3. Step 3: Cross multiply
    132,145x = 201,315 × 201,315
  4. Step 4: Simplify right side
    132,145x = 40,527,729,225
  5. Step 5: Solve for x
    x = 40,527,729,225/132,145
  6. Step 6: Final answer
    x = 306,691.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.