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Finding the Third Proportional to 135,576 and 297,312

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Solution

The third proportional to 135,576 and 297,312 is: 651,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,576 : 297,312 = 297,312 : x
  2. Step 2: Convert to fraction form
    135,576/297,312 = 297,312/x
  3. Step 3: Cross multiply
    135,576x = 297,312 × 297,312
  4. Step 4: Simplify right side
    135,576x = 88,394,425,344
  5. Step 5: Solve for x
    x = 88,394,425,344/135,576
  6. Step 6: Final answer
    x = 651,991.69

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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.