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Finding the Third Proportional to 138,384.50 and 297,631

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Solution

The third proportional to 138,384.50 and 297,631 is: 640,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,384.50 : 297,631 = 297,631 : x
  2. Step 2: Convert to fraction form
    138,384.50/297,631 = 297,631/x
  3. Step 3: Cross multiply
    138,384.50x = 297,631 × 297,631
  4. Step 4: Simplify right side
    138,384.50x = 88,584,212,161
  5. Step 5: Solve for x
    x = 88,584,212,161/138,384.50
  6. Step 6: Final answer
    x = 640,131.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.