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Finding the Third Proportional to 135,131 and 289,942

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Solution

The third proportional to 135,131 and 289,942 is: 622,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,131 : 289,942 = 289,942 : x
  2. Step 2: Convert to fraction form
    135,131/289,942 = 289,942/x
  3. Step 3: Cross multiply
    135,131x = 289,942 × 289,942
  4. Step 4: Simplify right side
    135,131x = 84,066,363,364
  5. Step 5: Solve for x
    x = 84,066,363,364/135,131
  6. Step 6: Final answer
    x = 622,110.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.