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Finding the Third Proportional to 257,442 and 557,772

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Solution

The third proportional to 257,442 and 557,772 is: 1,208,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,442 : 557,772 = 557,772 : x
  2. Step 2: Convert to fraction form
    257,442/557,772 = 557,772/x
  3. Step 3: Cross multiply
    257,442x = 557,772 × 557,772
  4. Step 4: Simplify right side
    257,442x = 311,109,603,984
  5. Step 5: Solve for x
    x = 311,109,603,984/257,442
  6. Step 6: Final answer
    x = 1,208,464.83

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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.