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Finding the Third Proportional to 257,498 and 538,516

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Solution

The third proportional to 257,498 and 538,516 is: 1,126,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,498 : 538,516 = 538,516 : x
  2. Step 2: Convert to fraction form
    257,498/538,516 = 538,516/x
  3. Step 3: Cross multiply
    257,498x = 538,516 × 538,516
  4. Step 4: Simplify right side
    257,498x = 289,999,482,256
  5. Step 5: Solve for x
    x = 289,999,482,256/257,498
  6. Step 6: Final answer
    x = 1,126,220.33

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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.