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Finding the Third Proportional to 131,404 and 211,504

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Solution

The third proportional to 131,404 and 211,504 is: 340,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,404 : 211,504 = 211,504 : x
  2. Step 2: Convert to fraction form
    131,404/211,504 = 211,504/x
  3. Step 3: Cross multiply
    131,404x = 211,504 × 211,504
  4. Step 4: Simplify right side
    131,404x = 44,733,942,016
  5. Step 5: Solve for x
    x = 44,733,942,016/131,404
  6. Step 6: Final answer
    x = 340,430.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.