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Finding the Third Proportional to 257,190 and 557,148

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Solution

The third proportional to 257,190 and 557,148 is: 1,206,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,190 : 557,148 = 557,148 : x
  2. Step 2: Convert to fraction form
    257,190/557,148 = 557,148/x
  3. Step 3: Cross multiply
    257,190x = 557,148 × 557,148
  4. Step 4: Simplify right side
    257,190x = 310,413,893,904
  5. Step 5: Solve for x
    x = 310,413,893,904/257,190
  6. Step 6: Final answer
    x = 1,206,943.87

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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.