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Finding the Third Proportional to 542,819 and 798,439

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Solution

The third proportional to 542,819 and 798,439 is: 1,174,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,819 : 798,439 = 798,439 : x
  2. Step 2: Convert to fraction form
    542,819/798,439 = 798,439/x
  3. Step 3: Cross multiply
    542,819x = 798,439 × 798,439
  4. Step 4: Simplify right side
    542,819x = 637,504,836,721
  5. Step 5: Solve for x
    x = 637,504,836,721/542,819
  6. Step 6: Final answer
    x = 1,174,433.53

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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.