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Finding the Third Proportional to 257,550.75 and 559,415.25

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Solution

The third proportional to 257,550.75 and 559,415.25 is: 1,215,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,550.75 : 559,415.25 = 559,415.25 : x
  2. Step 2: Convert to fraction form
    257,550.75/559,415.25 = 559,415.25/x
  3. Step 3: Cross multiply
    257,550.75x = 559,415.25 × 559,415.25
  4. Step 4: Simplify right side
    257,550.75x = 312,945,421,932.56
  5. Step 5: Solve for x
    x = 312,945,421,932.56/257,550.75
  6. Step 6: Final answer
    x = 1,215,082.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.