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Finding the Third Proportional to 58,801 and 128,177

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Solution

The third proportional to 58,801 and 128,177 is: 279,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,801 : 128,177 = 128,177 : x
  2. Step 2: Convert to fraction form
    58,801/128,177 = 128,177/x
  3. Step 3: Cross multiply
    58,801x = 128,177 × 128,177
  4. Step 4: Simplify right side
    58,801x = 16,429,343,329
  5. Step 5: Solve for x
    x = 16,429,343,329/58,801
  6. Step 6: Final answer
    x = 279,405.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.