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Finding the Third Proportional to 128,000 and 279,112

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Solution

The third proportional to 128,000 and 279,112 is: 608,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,000 : 279,112 = 279,112 : x
  2. Step 2: Convert to fraction form
    128,000/279,112 = 279,112/x
  3. Step 3: Cross multiply
    128,000x = 279,112 × 279,112
  4. Step 4: Simplify right side
    128,000x = 77,903,508,544
  5. Step 5: Solve for x
    x = 77,903,508,544/128,000
  6. Step 6: Final answer
    x = 608,621.16

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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.