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Finding the Third Proportional to 131,426 and 201,081

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Solution

The third proportional to 131,426 and 201,081 is: 307,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,426 : 201,081 = 201,081 : x
  2. Step 2: Convert to fraction form
    131,426/201,081 = 201,081/x
  3. Step 3: Cross multiply
    131,426x = 201,081 × 201,081
  4. Step 4: Simplify right side
    131,426x = 40,433,568,561
  5. Step 5: Solve for x
    x = 40,433,568,561/131,426
  6. Step 6: Final answer
    x = 307,652.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.