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Finding the Third Proportional to 173,776 and 378,656

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Solution

The third proportional to 173,776 and 378,656 is: 825,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,776 : 378,656 = 378,656 : x
  2. Step 2: Convert to fraction form
    173,776/378,656 = 378,656/x
  3. Step 3: Cross multiply
    173,776x = 378,656 × 378,656
  4. Step 4: Simplify right side
    173,776x = 143,380,366,336
  5. Step 5: Solve for x
    x = 143,380,366,336/173,776
  6. Step 6: Final answer
    x = 825,087.28

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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.