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Finding the Third Proportional to 190,872 and 279,738

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Solution

The third proportional to 190,872 and 279,738 is: 409,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,872 : 279,738 = 279,738 : x
  2. Step 2: Convert to fraction form
    190,872/279,738 = 279,738/x
  3. Step 3: Cross multiply
    190,872x = 279,738 × 279,738
  4. Step 4: Simplify right side
    190,872x = 78,253,348,644
  5. Step 5: Solve for x
    x = 78,253,348,644/190,872
  6. Step 6: Final answer
    x = 409,978.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.