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Finding the Third Proportional to 257,627.25 and 378,978.75

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Solution

The third proportional to 257,627.25 and 378,978.75 is: 557,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,627.25 : 378,978.75 = 378,978.75 : x
  2. Step 2: Convert to fraction form
    257,627.25/378,978.75 = 378,978.75/x
  3. Step 3: Cross multiply
    257,627.25x = 378,978.75 × 378,978.75
  4. Step 4: Simplify right side
    257,627.25x = 143,624,892,951.56
  5. Step 5: Solve for x
    x = 143,624,892,951.56/257,627.25
  6. Step 6: Final answer
    x = 557,491.08

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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.