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Finding the Third Proportional to 131,228 and 203,584

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Solution

The third proportional to 131,228 and 203,584 is: 315,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,228 : 203,584 = 203,584 : x
  2. Step 2: Convert to fraction form
    131,228/203,584 = 203,584/x
  3. Step 3: Cross multiply
    131,228x = 203,584 × 203,584
  4. Step 4: Simplify right side
    131,228x = 41,446,445,056
  5. Step 5: Solve for x
    x = 41,446,445,056/131,228
  6. Step 6: Final answer
    x = 315,835.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.