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Finding the Third Proportional to 61,236 and 128,004

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Solution

The third proportional to 61,236 and 128,004 is: 267,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,236 : 128,004 = 128,004 : x
  2. Step 2: Convert to fraction form
    61,236/128,004 = 128,004/x
  3. Step 3: Cross multiply
    61,236x = 128,004 × 128,004
  4. Step 4: Simplify right side
    61,236x = 16,385,024,016
  5. Step 5: Solve for x
    x = 16,385,024,016/61,236
  6. Step 6: Final answer
    x = 267,571.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.