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Finding the Third Proportional to 253,572 and 394,898

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Solution

The third proportional to 253,572 and 394,898 is: 614,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,572 : 394,898 = 394,898 : x
  2. Step 2: Convert to fraction form
    253,572/394,898 = 394,898/x
  3. Step 3: Cross multiply
    253,572x = 394,898 × 394,898
  4. Step 4: Simplify right side
    253,572x = 155,944,430,404
  5. Step 5: Solve for x
    x = 155,944,430,404/253,572
  6. Step 6: Final answer
    x = 614,990.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.