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Finding the Third Proportional to 128,767 and 279,699

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Solution

The third proportional to 128,767 and 279,699 is: 607,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,767 : 279,699 = 279,699 : x
  2. Step 2: Convert to fraction form
    128,767/279,699 = 279,699/x
  3. Step 3: Cross multiply
    128,767x = 279,699 × 279,699
  4. Step 4: Simplify right side
    128,767x = 78,231,530,601
  5. Step 5: Solve for x
    x = 78,231,530,601/128,767
  6. Step 6: Final answer
    x = 607,543.32

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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.