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Finding the Third Proportional to 251,356 and 520,208

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Solution

The third proportional to 251,356 and 520,208 is: 1,076,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,356 : 520,208 = 520,208 : x
  2. Step 2: Convert to fraction form
    251,356/520,208 = 520,208/x
  3. Step 3: Cross multiply
    251,356x = 520,208 × 520,208
  4. Step 4: Simplify right side
    251,356x = 270,616,363,264
  5. Step 5: Solve for x
    x = 270,616,363,264/251,356
  6. Step 6: Final answer
    x = 1,076,625.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.