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Finding the Third Proportional to 257,711.06 and 554,747.06

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Solution

The third proportional to 257,711.06 and 554,747.06 is: 1,194,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,711.06 : 554,747.06 = 554,747.06 : x
  2. Step 2: Convert to fraction form
    257,711.06/554,747.06 = 554,747.06/x
  3. Step 3: Cross multiply
    257,711.06x = 554,747.06 × 554,747.06
  4. Step 4: Simplify right side
    257,711.06x = 307,744,303,352.38
  5. Step 5: Solve for x
    x = 307,744,303,352.38/257,711.06
  6. Step 6: Final answer
    x = 1,194,144.72

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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.