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Finding the Third Proportional to 257,584.50 and 553,257

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Solution

The third proportional to 257,584.50 and 553,257 is: 1,188,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584.50 : 553,257 = 553,257 : x
  2. Step 2: Convert to fraction form
    257,584.50/553,257 = 553,257/x
  3. Step 3: Cross multiply
    257,584.50x = 553,257 × 553,257
  4. Step 4: Simplify right side
    257,584.50x = 306,093,308,049
  5. Step 5: Solve for x
    x = 306,093,308,049/257,584.50
  6. Step 6: Final answer
    x = 1,188,321.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.