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Finding the Third Proportional to 356,512.50 and 518,676.75

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Solution

The third proportional to 356,512.50 and 518,676.75 is: 754,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,512.50 : 518,676.75 = 518,676.75 : x
  2. Step 2: Convert to fraction form
    356,512.50/518,676.75 = 518,676.75/x
  3. Step 3: Cross multiply
    356,512.50x = 518,676.75 × 518,676.75
  4. Step 4: Simplify right side
    356,512.50x = 269,025,570,990.56
  5. Step 5: Solve for x
    x = 269,025,570,990.56/356,512.50
  6. Step 6: Final answer
    x = 754,603.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.