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Finding the Third Proportional to 172,418 and 375,874

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Solution

The third proportional to 172,418 and 375,874 is: 819,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,418 : 375,874 = 375,874 : x
  2. Step 2: Convert to fraction form
    172,418/375,874 = 375,874/x
  3. Step 3: Cross multiply
    172,418x = 375,874 × 375,874
  4. Step 4: Simplify right side
    172,418x = 141,281,263,876
  5. Step 5: Solve for x
    x = 141,281,263,876/172,418
  6. Step 6: Final answer
    x = 819,411.34

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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.