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Finding the Third Proportional to 279,730 and 421,917

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Solution

The third proportional to 279,730 and 421,917 is: 636,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,730 : 421,917 = 421,917 : x
  2. Step 2: Convert to fraction form
    279,730/421,917 = 421,917/x
  3. Step 3: Cross multiply
    279,730x = 421,917 × 421,917
  4. Step 4: Simplify right side
    279,730x = 178,013,954,889
  5. Step 5: Solve for x
    x = 178,013,954,889/279,730
  6. Step 6: Final answer
    x = 636,377.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.