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Finding the Third Proportional to 131,404 and 283,403

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Solution

The third proportional to 131,404 and 283,403 is: 611,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,404 : 283,403 = 283,403 : x
  2. Step 2: Convert to fraction form
    131,404/283,403 = 283,403/x
  3. Step 3: Cross multiply
    131,404x = 283,403 × 283,403
  4. Step 4: Simplify right side
    131,404x = 80,317,260,409
  5. Step 5: Solve for x
    x = 80,317,260,409/131,404
  6. Step 6: Final answer
    x = 611,223.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.