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Finding the Third Proportional to 137,640 and 201,147

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Solution

The third proportional to 137,640 and 201,147 is: 293,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640 : 201,147 = 201,147 : x
  2. Step 2: Convert to fraction form
    137,640/201,147 = 201,147/x
  3. Step 3: Cross multiply
    137,640x = 201,147 × 201,147
  4. Step 4: Simplify right side
    137,640x = 40,460,115,609
  5. Step 5: Solve for x
    x = 40,460,115,609/137,640
  6. Step 6: Final answer
    x = 293,956.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.