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Finding the Third Proportional to 263,376 and 418,392

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Solution

The third proportional to 263,376 and 418,392 is: 664,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,376 : 418,392 = 418,392 : x
  2. Step 2: Convert to fraction form
    263,376/418,392 = 418,392/x
  3. Step 3: Cross multiply
    263,376x = 418,392 × 418,392
  4. Step 4: Simplify right side
    263,376x = 175,051,865,664
  5. Step 5: Solve for x
    x = 175,051,865,664/263,376
  6. Step 6: Final answer
    x = 664,646.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.