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Finding the Third Proportional to 257,608 and 561,036

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Solution

The third proportional to 257,608 and 561,036 is: 1,221,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,608 : 561,036 = 561,036 : x
  2. Step 2: Convert to fraction form
    257,608/561,036 = 561,036/x
  3. Step 3: Cross multiply
    257,608x = 561,036 × 561,036
  4. Step 4: Simplify right side
    257,608x = 314,761,393,296
  5. Step 5: Solve for x
    x = 314,761,393,296/257,608
  6. Step 6: Final answer
    x = 1,221,861.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.