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Finding the Third Proportional to 130,161 and 284,190

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Solution

The third proportional to 130,161 and 284,190 is: 620,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,161 : 284,190 = 284,190 : x
  2. Step 2: Convert to fraction form
    130,161/284,190 = 284,190/x
  3. Step 3: Cross multiply
    130,161x = 284,190 × 284,190
  4. Step 4: Simplify right side
    130,161x = 80,763,956,100
  5. Step 5: Solve for x
    x = 80,763,956,100/130,161
  6. Step 6: Final answer
    x = 620,492.74

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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.