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Finding the Third Proportional to 58,812 and 128,199

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Solution

The third proportional to 58,812 and 128,199 is: 279,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,812 : 128,199 = 128,199 : x
  2. Step 2: Convert to fraction form
    58,812/128,199 = 128,199/x
  3. Step 3: Cross multiply
    58,812x = 128,199 × 128,199
  4. Step 4: Simplify right side
    58,812x = 16,434,983,601
  5. Step 5: Solve for x
    x = 16,434,983,601/58,812
  6. Step 6: Final answer
    x = 279,449.49

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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.