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Finding the Third Proportional to 331,398 and 518,420.25

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Solution

The third proportional to 331,398 and 518,420.25 is: 810,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,398 : 518,420.25 = 518,420.25 : x
  2. Step 2: Convert to fraction form
    331,398/518,420.25 = 518,420.25/x
  3. Step 3: Cross multiply
    331,398x = 518,420.25 × 518,420.25
  4. Step 4: Simplify right side
    331,398x = 268,759,555,610.06
  5. Step 5: Solve for x
    x = 268,759,555,610.06/331,398
  6. Step 6: Final answer
    x = 810,987.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.