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Finding the Third Proportional to 257,843.25 and 553,776.75

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Solution

The third proportional to 257,843.25 and 553,776.75 is: 1,189,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,843.25 : 553,776.75 = 553,776.75 : x
  2. Step 2: Convert to fraction form
    257,843.25/553,776.75 = 553,776.75/x
  3. Step 3: Cross multiply
    257,843.25x = 553,776.75 × 553,776.75
  4. Step 4: Simplify right side
    257,843.25x = 306,668,688,840.56
  5. Step 5: Solve for x
    x = 306,668,688,840.56/257,843.25
  6. Step 6: Final answer
    x = 1,189,360.93

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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.