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Finding the Third Proportional to 258,975 and 565,983

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Solution

The third proportional to 258,975 and 565,983 is: 1,236,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,975 : 565,983 = 565,983 : x
  2. Step 2: Convert to fraction form
    258,975/565,983 = 565,983/x
  3. Step 3: Cross multiply
    258,975x = 565,983 × 565,983
  4. Step 4: Simplify right side
    258,975x = 320,336,756,289
  5. Step 5: Solve for x
    x = 320,336,756,289/258,975
  6. Step 6: Final answer
    x = 1,236,940.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.