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Finding the Third Proportional to 240,383 and 518,847

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Solution

The third proportional to 240,383 and 518,847 is: 1,119,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,383 : 518,847 = 518,847 : x
  2. Step 2: Convert to fraction form
    240,383/518,847 = 518,847/x
  3. Step 3: Cross multiply
    240,383x = 518,847 × 518,847
  4. Step 4: Simplify right side
    240,383x = 269,202,209,409
  5. Step 5: Solve for x
    x = 269,202,209,409/240,383
  6. Step 6: Final answer
    x = 1,119,888.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.