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Finding the Third Proportional to 135,520 and 297,296

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Solution

The third proportional to 135,520 and 297,296 is: 652,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,520 : 297,296 = 297,296 : x
  2. Step 2: Convert to fraction form
    135,520/297,296 = 297,296/x
  3. Step 3: Cross multiply
    135,520x = 297,296 × 297,296
  4. Step 4: Simplify right side
    135,520x = 88,384,911,616
  5. Step 5: Solve for x
    x = 88,384,911,616/135,520
  6. Step 6: Final answer
    x = 652,190.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.