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Finding the Third Proportional to 173,485 and 378,407

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Solution

The third proportional to 173,485 and 378,407 is: 825,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,485 : 378,407 = 378,407 : x
  2. Step 2: Convert to fraction form
    173,485/378,407 = 378,407/x
  3. Step 3: Cross multiply
    173,485x = 378,407 × 378,407
  4. Step 4: Simplify right side
    173,485x = 143,191,857,649
  5. Step 5: Solve for x
    x = 143,191,857,649/173,485
  6. Step 6: Final answer
    x = 825,384.66

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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.