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Finding the Third Proportional to 130,917 and 285,161

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Solution

The third proportional to 130,917 and 285,161 is: 621,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,917 : 285,161 = 285,161 : x
  2. Step 2: Convert to fraction form
    130,917/285,161 = 285,161/x
  3. Step 3: Cross multiply
    130,917x = 285,161 × 285,161
  4. Step 4: Simplify right side
    130,917x = 81,316,795,921
  5. Step 5: Solve for x
    x = 81,316,795,921/130,917
  6. Step 6: Final answer
    x = 621,132.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.