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Finding the Third Proportional to 257,033.25 and 401,952.38

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Solution

The third proportional to 257,033.25 and 401,952.38 is: 628,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,033.25 : 401,952.38 = 401,952.38 : x
  2. Step 2: Convert to fraction form
    257,033.25/401,952.38 = 401,952.38/x
  3. Step 3: Cross multiply
    257,033.25x = 401,952.38 × 401,952.38
  4. Step 4: Simplify right side
    257,033.25x = 161,565,711,768.14
  5. Step 5: Solve for x
    x = 161,565,711,768.14/257,033.25
  6. Step 6: Final answer
    x = 628,579.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.