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Finding the Third Proportional to 257,711.44 and 554,747.81

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Solution

The third proportional to 257,711.44 and 554,747.81 is: 1,194,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,711.44 : 554,747.81 = 554,747.81 : x
  2. Step 2: Convert to fraction form
    257,711.44/554,747.81 = 554,747.81/x
  3. Step 3: Cross multiply
    257,711.44x = 554,747.81 × 554,747.81
  4. Step 4: Simplify right side
    257,711.44x = 307,745,135,473.54
  5. Step 5: Solve for x
    x = 307,745,135,473.54/257,711.44
  6. Step 6: Final answer
    x = 1,194,146.21

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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.