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Finding the Third Proportional to 187,720 and 378,512

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Solution

The third proportional to 187,720 and 378,512 is: 763,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,720 : 378,512 = 378,512 : x
  2. Step 2: Convert to fraction form
    187,720/378,512 = 378,512/x
  3. Step 3: Cross multiply
    187,720x = 378,512 × 378,512
  4. Step 4: Simplify right side
    187,720x = 143,271,334,144
  5. Step 5: Solve for x
    x = 143,271,334,144/187,720
  6. Step 6: Final answer
    x = 763,218.27

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.