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Finding the Third Proportional to 313,044 and 419,376

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Solution

The third proportional to 313,044 and 419,376 is: 561,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,044 : 419,376 = 419,376 : x
  2. Step 2: Convert to fraction form
    313,044/419,376 = 419,376/x
  3. Step 3: Cross multiply
    313,044x = 419,376 × 419,376
  4. Step 4: Simplify right side
    313,044x = 175,876,229,376
  5. Step 5: Solve for x
    x = 175,876,229,376/313,044
  6. Step 6: Final answer
    x = 561,825.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.