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Finding the Third Proportional to 519,978 and 798,890

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Solution

The third proportional to 519,978 and 798,890 is: 1,227,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,978 : 798,890 = 798,890 : x
  2. Step 2: Convert to fraction form
    519,978/798,890 = 798,890/x
  3. Step 3: Cross multiply
    519,978x = 798,890 × 798,890
  4. Step 4: Simplify right side
    519,978x = 638,225,232,100
  5. Step 5: Solve for x
    x = 638,225,232,100/519,978
  6. Step 6: Final answer
    x = 1,227,408.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.