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Finding the Third Proportional to 136,986 and 201,785

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Solution

The third proportional to 136,986 and 201,785 is: 297,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,986 : 201,785 = 201,785 : x
  2. Step 2: Convert to fraction form
    136,986/201,785 = 201,785/x
  3. Step 3: Cross multiply
    136,986x = 201,785 × 201,785
  4. Step 4: Simplify right side
    136,986x = 40,717,186,225
  5. Step 5: Solve for x
    x = 40,717,186,225/136,986
  6. Step 6: Final answer
    x = 297,236.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.