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Finding the Third Proportional to 257,475 and 538,491

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Solution

The third proportional to 257,475 and 538,491 is: 1,126,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,475 : 538,491 = 538,491 : x
  2. Step 2: Convert to fraction form
    257,475/538,491 = 538,491/x
  3. Step 3: Cross multiply
    257,475x = 538,491 × 538,491
  4. Step 4: Simplify right side
    257,475x = 289,972,557,081
  5. Step 5: Solve for x
    x = 289,972,557,081/257,475
  6. Step 6: Final answer
    x = 1,126,216.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.