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Finding the Third Proportional to 257,469 and 538,480

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Solution

The third proportional to 257,469 and 538,480 is: 1,126,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,469 : 538,480 = 538,480 : x
  2. Step 2: Convert to fraction form
    257,469/538,480 = 538,480/x
  3. Step 3: Cross multiply
    257,469x = 538,480 × 538,480
  4. Step 4: Simplify right side
    257,469x = 289,960,710,400
  5. Step 5: Solve for x
    x = 289,960,710,400/257,469
  6. Step 6: Final answer
    x = 1,126,196.59

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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.