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Finding the Third Proportional to 257,576 and 552,904

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Solution

The third proportional to 257,576 and 552,904 is: 1,186,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,576 : 552,904 = 552,904 : x
  2. Step 2: Convert to fraction form
    257,576/552,904 = 552,904/x
  3. Step 3: Cross multiply
    257,576x = 552,904 × 552,904
  4. Step 4: Simplify right side
    257,576x = 305,702,833,216
  5. Step 5: Solve for x
    x = 305,702,833,216/257,576
  6. Step 6: Final answer
    x = 1,186,845.18

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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.