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Finding the Third Proportional to 257,515 and 557,905

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Solution

The third proportional to 257,515 and 557,905 is: 1,208,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,515 : 557,905 = 557,905 : x
  2. Step 2: Convert to fraction form
    257,515/557,905 = 557,905/x
  3. Step 3: Cross multiply
    257,515x = 557,905 × 557,905
  4. Step 4: Simplify right side
    257,515x = 311,257,989,025
  5. Step 5: Solve for x
    x = 311,257,989,025/257,515
  6. Step 6: Final answer
    x = 1,208,698.48

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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.