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Finding the Third Proportional to 251,348 and 520,190

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Solution

The third proportional to 251,348 and 520,190 is: 1,076,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,348 : 520,190 = 520,190 : x
  2. Step 2: Convert to fraction form
    251,348/520,190 = 520,190/x
  3. Step 3: Cross multiply
    251,348x = 520,190 × 520,190
  4. Step 4: Simplify right side
    251,348x = 270,597,636,100
  5. Step 5: Solve for x
    x = 270,597,636,100/251,348
  6. Step 6: Final answer
    x = 1,076,585.59

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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.