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Finding the Third Proportional to 257,544 and 557,964

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Solution

The third proportional to 257,544 and 557,964 is: 1,208,818.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,544 : 557,964 = 557,964 : x
  2. Step 2: Convert to fraction form
    257,544/557,964 = 557,964/x
  3. Step 3: Cross multiply
    257,544x = 557,964 × 557,964
  4. Step 4: Simplify right side
    257,544x = 311,323,825,296
  5. Step 5: Solve for x
    x = 311,323,825,296/257,544
  6. Step 6: Final answer
    x = 1,208,818.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.