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Finding the Third Proportional to 257,226.31 and 553,960.31

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Solution

The third proportional to 257,226.31 and 553,960.31 is: 1,193,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,226.31 : 553,960.31 = 553,960.31 : x
  2. Step 2: Convert to fraction form
    257,226.31/553,960.31 = 553,960.31/x
  3. Step 3: Cross multiply
    257,226.31x = 553,960.31 × 553,960.31
  4. Step 4: Simplify right side
    257,226.31x = 306,872,027,825.10
  5. Step 5: Solve for x
    x = 306,872,027,825.10/257,226.31
  6. Step 6: Final answer
    x = 1,193,004.03

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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.