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Finding the Third Proportional to 130,180 and 284,120

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Solution

The third proportional to 130,180 and 284,120 is: 620,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,180 : 284,120 = 284,120 : x
  2. Step 2: Convert to fraction form
    130,180/284,120 = 284,120/x
  3. Step 3: Cross multiply
    130,180x = 284,120 × 284,120
  4. Step 4: Simplify right side
    130,180x = 80,724,174,400
  5. Step 5: Solve for x
    x = 80,724,174,400/130,180
  6. Step 6: Final answer
    x = 620,096.59

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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.