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Finding the Third Proportional to 253,878 and 356,625

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Solution

The third proportional to 253,878 and 356,625 is: 500,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,878 : 356,625 = 356,625 : x
  2. Step 2: Convert to fraction form
    253,878/356,625 = 356,625/x
  3. Step 3: Cross multiply
    253,878x = 356,625 × 356,625
  4. Step 4: Simplify right side
    253,878x = 127,181,390,625
  5. Step 5: Solve for x
    x = 127,181,390,625/253,878
  6. Step 6: Final answer
    x = 500,954.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.