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Finding the Third Proportional to 61,415 and 133,197

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Solution

The third proportional to 61,415 and 133,197 is: 288,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,415 : 133,197 = 133,197 : x
  2. Step 2: Convert to fraction form
    61,415/133,197 = 133,197/x
  3. Step 3: Cross multiply
    61,415x = 133,197 × 133,197
  4. Step 4: Simplify right side
    61,415x = 17,741,440,809
  5. Step 5: Solve for x
    x = 17,741,440,809/61,415
  6. Step 6: Final answer
    x = 288,877.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.