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Finding the Third Proportional to 257,396.63 and 554,583.38

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Solution

The third proportional to 257,396.63 and 554,583.38 is: 1,194,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,396.63 : 554,583.38 = 554,583.38 : x
  2. Step 2: Convert to fraction form
    257,396.63/554,583.38 = 554,583.38/x
  3. Step 3: Cross multiply
    257,396.63x = 554,583.38 × 554,583.38
  4. Step 4: Simplify right side
    257,396.63x = 307,562,719,826.39
  5. Step 5: Solve for x
    x = 307,562,719,826.39/257,396.63
  6. Step 6: Final answer
    x = 1,194,898.03

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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.