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Finding the Third Proportional to 240,380 and 518,840

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Solution

The third proportional to 240,380 and 518,840 is: 1,119,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,380 : 518,840 = 518,840 : x
  2. Step 2: Convert to fraction form
    240,380/518,840 = 518,840/x
  3. Step 3: Cross multiply
    240,380x = 518,840 × 518,840
  4. Step 4: Simplify right side
    240,380x = 269,194,945,600
  5. Step 5: Solve for x
    x = 269,194,945,600/240,380
  6. Step 6: Final answer
    x = 1,119,872.48

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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.