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Finding the Third Proportional to 279,126 and 409,617

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Solution

The third proportional to 279,126 and 409,617 is: 601,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,126 : 409,617 = 409,617 : x
  2. Step 2: Convert to fraction form
    279,126/409,617 = 409,617/x
  3. Step 3: Cross multiply
    279,126x = 409,617 × 409,617
  4. Step 4: Simplify right side
    279,126x = 167,786,086,689
  5. Step 5: Solve for x
    x = 167,786,086,689/279,126
  6. Step 6: Final answer
    x = 601,112.35

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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.