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Finding the Third Proportional to 61,684 and 128,215

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Solution

The third proportional to 61,684 and 128,215 is: 266,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,684 : 128,215 = 128,215 : x
  2. Step 2: Convert to fraction form
    61,684/128,215 = 128,215/x
  3. Step 3: Cross multiply
    61,684x = 128,215 × 128,215
  4. Step 4: Simplify right side
    61,684x = 16,439,086,225
  5. Step 5: Solve for x
    x = 16,439,086,225/61,684
  6. Step 6: Final answer
    x = 266,504.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.