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Finding the Third Proportional to 358,320 and 541,512

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Solution

The third proportional to 358,320 and 541,512 is: 818,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,320 : 541,512 = 541,512 : x
  2. Step 2: Convert to fraction form
    358,320/541,512 = 541,512/x
  3. Step 3: Cross multiply
    358,320x = 541,512 × 541,512
  4. Step 4: Simplify right side
    358,320x = 293,235,246,144
  5. Step 5: Solve for x
    x = 293,235,246,144/358,320
  6. Step 6: Final answer
    x = 818,361.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.