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Finding the Third Proportional to 232,240.50 and 384,361.50

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Solution

The third proportional to 232,240.50 and 384,361.50 is: 636,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,240.50 : 384,361.50 = 384,361.50 : x
  2. Step 2: Convert to fraction form
    232,240.50/384,361.50 = 384,361.50/x
  3. Step 3: Cross multiply
    232,240.50x = 384,361.50 × 384,361.50
  4. Step 4: Simplify right side
    232,240.50x = 147,733,762,682.25
  5. Step 5: Solve for x
    x = 147,733,762,682.25/232,240.50
  6. Step 6: Final answer
    x = 636,124.03

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.