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Finding the Third Proportional to 257,485 and 521,974

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Solution

The third proportional to 257,485 and 521,974 is: 1,058,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,485 : 521,974 = 521,974 : x
  2. Step 2: Convert to fraction form
    257,485/521,974 = 521,974/x
  3. Step 3: Cross multiply
    257,485x = 521,974 × 521,974
  4. Step 4: Simplify right side
    257,485x = 272,456,856,676
  5. Step 5: Solve for x
    x = 272,456,856,676/257,485
  6. Step 6: Final answer
    x = 1,058,146.52

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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.