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Finding the Third Proportional to 257,640 and 522,558

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Solution

The third proportional to 257,640 and 522,558 is: 1,059,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,640 : 522,558 = 522,558 : x
  2. Step 2: Convert to fraction form
    257,640/522,558 = 522,558/x
  3. Step 3: Cross multiply
    257,640x = 522,558 × 522,558
  4. Step 4: Simplify right side
    257,640x = 273,066,863,364
  5. Step 5: Solve for x
    x = 273,066,863,364/257,640
  6. Step 6: Final answer
    x = 1,059,877.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.