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Finding the Third Proportional to 172,244 and 378,440

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Solution

The third proportional to 172,244 and 378,440 is: 831,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,244 : 378,440 = 378,440 : x
  2. Step 2: Convert to fraction form
    172,244/378,440 = 378,440/x
  3. Step 3: Cross multiply
    172,244x = 378,440 × 378,440
  4. Step 4: Simplify right side
    172,244x = 143,216,833,600
  5. Step 5: Solve for x
    x = 143,216,833,600/172,244
  6. Step 6: Final answer
    x = 831,476.47

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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.