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Finding the Third Proportional to 478,969 and 798,249

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Solution

The third proportional to 478,969 and 798,249 is: 1,330,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,969 : 798,249 = 798,249 : x
  2. Step 2: Convert to fraction form
    478,969/798,249 = 798,249/x
  3. Step 3: Cross multiply
    478,969x = 798,249 × 798,249
  4. Step 4: Simplify right side
    478,969x = 637,201,466,001
  5. Step 5: Solve for x
    x = 637,201,466,001/478,969
  6. Step 6: Final answer
    x = 1,330,360.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.