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Finding the Third Proportional to 258,265 and 559,425

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Solution

The third proportional to 258,265 and 559,425 is: 1,211,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,265 : 559,425 = 559,425 : x
  2. Step 2: Convert to fraction form
    258,265/559,425 = 559,425/x
  3. Step 3: Cross multiply
    258,265x = 559,425 × 559,425
  4. Step 4: Simplify right side
    258,265x = 312,956,330,625
  5. Step 5: Solve for x
    x = 312,956,330,625/258,265
  6. Step 6: Final answer
    x = 1,211,764.39

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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.