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Finding the Third Proportional to 257,260 and 557,450

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Solution

The third proportional to 257,260 and 557,450 is: 1,207,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,260 : 557,450 = 557,450 : x
  2. Step 2: Convert to fraction form
    257,260/557,450 = 557,450/x
  3. Step 3: Cross multiply
    257,260x = 557,450 × 557,450
  4. Step 4: Simplify right side
    257,260x = 310,750,502,500
  5. Step 5: Solve for x
    x = 310,750,502,500/257,260
  6. Step 6: Final answer
    x = 1,207,923.90

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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.