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Finding the Third Proportional to 135,489 and 297,791

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Solution

The third proportional to 135,489 and 297,791 is: 654,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,489 : 297,791 = 297,791 : x
  2. Step 2: Convert to fraction form
    135,489/297,791 = 297,791/x
  3. Step 3: Cross multiply
    135,489x = 297,791 × 297,791
  4. Step 4: Simplify right side
    135,489x = 88,679,479,681
  5. Step 5: Solve for x
    x = 88,679,479,681/135,489
  6. Step 6: Final answer
    x = 654,514.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.