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Finding the Third Proportional to 259,275 and 399,975

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Solution

The third proportional to 259,275 and 399,975 is: 617,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,275 : 399,975 = 399,975 : x
  2. Step 2: Convert to fraction form
    259,275/399,975 = 399,975/x
  3. Step 3: Cross multiply
    259,275x = 399,975 × 399,975
  4. Step 4: Simplify right side
    259,275x = 159,980,000,625
  5. Step 5: Solve for x
    x = 159,980,000,625/259,275
  6. Step 6: Final answer
    x = 617,028.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.