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Finding the Third Proportional to 172,968 and 378,726

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Solution

The third proportional to 172,968 and 378,726 is: 829,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,968 : 378,726 = 378,726 : x
  2. Step 2: Convert to fraction form
    172,968/378,726 = 378,726/x
  3. Step 3: Cross multiply
    172,968x = 378,726 × 378,726
  4. Step 4: Simplify right side
    172,968x = 143,433,383,076
  5. Step 5: Solve for x
    x = 143,433,383,076/172,968
  6. Step 6: Final answer
    x = 829,248.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.