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Finding the Third Proportional to 171,553 and 378,008

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Solution

The third proportional to 171,553 and 378,008 is: 832,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,553 : 378,008 = 378,008 : x
  2. Step 2: Convert to fraction form
    171,553/378,008 = 378,008/x
  3. Step 3: Cross multiply
    171,553x = 378,008 × 378,008
  4. Step 4: Simplify right side
    171,553x = 142,890,048,064
  5. Step 5: Solve for x
    x = 142,890,048,064/171,553
  6. Step 6: Final answer
    x = 832,920.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.