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Finding the Third Proportional to 128,764.50 and 279,694.50

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Solution

The third proportional to 128,764.50 and 279,694.50 is: 607,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,764.50 : 279,694.50 = 279,694.50 : x
  2. Step 2: Convert to fraction form
    128,764.50/279,694.50 = 279,694.50/x
  3. Step 3: Cross multiply
    128,764.50x = 279,694.50 × 279,694.50
  4. Step 4: Simplify right side
    128,764.50x = 78,229,013,330.25
  5. Step 5: Solve for x
    x = 78,229,013,330.25/128,764.50
  6. Step 6: Final answer
    x = 607,535.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.