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Finding the Third Proportional to 58,986 and 128,339

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Solution

The third proportional to 58,986 and 128,339 is: 279,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,986 : 128,339 = 128,339 : x
  2. Step 2: Convert to fraction form
    58,986/128,339 = 128,339/x
  3. Step 3: Cross multiply
    58,986x = 128,339 × 128,339
  4. Step 4: Simplify right side
    58,986x = 16,470,898,921
  5. Step 5: Solve for x
    x = 16,470,898,921/58,986
  6. Step 6: Final answer
    x = 279,234.04

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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.