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Finding the Third Proportional to 127,767 and 280,073

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Solution

The third proportional to 127,767 and 280,073 is: 613,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,767 : 280,073 = 280,073 : x
  2. Step 2: Convert to fraction form
    127,767/280,073 = 280,073/x
  3. Step 3: Cross multiply
    127,767x = 280,073 × 280,073
  4. Step 4: Simplify right side
    127,767x = 78,440,885,329
  5. Step 5: Solve for x
    x = 78,440,885,329/127,767
  6. Step 6: Final answer
    x = 613,936.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.