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Finding the Third Proportional to 257,613.75 and 378,958.50

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Solution

The third proportional to 257,613.75 and 378,958.50 is: 557,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,613.75 : 378,958.50 = 378,958.50 : x
  2. Step 2: Convert to fraction form
    257,613.75/378,958.50 = 378,958.50/x
  3. Step 3: Cross multiply
    257,613.75x = 378,958.50 × 378,958.50
  4. Step 4: Simplify right side
    257,613.75x = 143,609,544,722.25
  5. Step 5: Solve for x
    x = 143,609,544,722.25/257,613.75
  6. Step 6: Final answer
    x = 557,460.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.