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Finding the Third Proportional to 172,431 and 376,938

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Solution

The third proportional to 172,431 and 376,938 is: 823,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,431 : 376,938 = 376,938 : x
  2. Step 2: Convert to fraction form
    172,431/376,938 = 376,938/x
  3. Step 3: Cross multiply
    172,431x = 376,938 × 376,938
  4. Step 4: Simplify right side
    172,431x = 142,082,255,844
  5. Step 5: Solve for x
    x = 142,082,255,844/172,431
  6. Step 6: Final answer
    x = 823,994.85

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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.