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Finding the Third Proportional to 173,454 and 378,343

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Solution

The third proportional to 173,454 and 378,343 is: 825,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,454 : 378,343 = 378,343 : x
  2. Step 2: Convert to fraction form
    173,454/378,343 = 378,343/x
  3. Step 3: Cross multiply
    173,454x = 378,343 × 378,343
  4. Step 4: Simplify right side
    173,454x = 143,143,425,649
  5. Step 5: Solve for x
    x = 143,143,425,649/173,454
  6. Step 6: Final answer
    x = 825,252.95

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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.