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Finding the Third Proportional to 257,739.75 and 566,289

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Solution

The third proportional to 257,739.75 and 566,289 is: 1,244,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,739.75 : 566,289 = 566,289 : x
  2. Step 2: Convert to fraction form
    257,739.75/566,289 = 566,289/x
  3. Step 3: Cross multiply
    257,739.75x = 566,289 × 566,289
  4. Step 4: Simplify right side
    257,739.75x = 320,683,231,521
  5. Step 5: Solve for x
    x = 320,683,231,521/257,739.75
  6. Step 6: Final answer
    x = 1,244,213.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.