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Finding the Third Proportional to 579,215 and 835,608

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Solution

The third proportional to 579,215 and 835,608 is: 1,205,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,215 : 835,608 = 835,608 : x
  2. Step 2: Convert to fraction form
    579,215/835,608 = 835,608/x
  3. Step 3: Cross multiply
    579,215x = 835,608 × 835,608
  4. Step 4: Simplify right side
    579,215x = 698,240,729,664
  5. Step 5: Solve for x
    x = 698,240,729,664/579,215
  6. Step 6: Final answer
    x = 1,205,494.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.