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Finding the Third Proportional to 172,032 and 378,048

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Solution

The third proportional to 172,032 and 378,048 is: 830,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,032 : 378,048 = 378,048 : x
  2. Step 2: Convert to fraction form
    172,032/378,048 = 378,048/x
  3. Step 3: Cross multiply
    172,032x = 378,048 × 378,048
  4. Step 4: Simplify right side
    172,032x = 142,920,290,304
  5. Step 5: Solve for x
    x = 142,920,290,304/172,032
  6. Step 6: Final answer
    x = 830,777.36

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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.