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Finding the Third Proportional to 253,728 and 542,439

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Solution

The third proportional to 253,728 and 542,439 is: 1,159,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,728 : 542,439 = 542,439 : x
  2. Step 2: Convert to fraction form
    253,728/542,439 = 542,439/x
  3. Step 3: Cross multiply
    253,728x = 542,439 × 542,439
  4. Step 4: Simplify right side
    253,728x = 294,240,068,721
  5. Step 5: Solve for x
    x = 294,240,068,721/253,728
  6. Step 6: Final answer
    x = 1,159,667.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.