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Finding the Third Proportional to 142,190 and 213,068

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Solution

The third proportional to 142,190 and 213,068 is: 319,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,190 : 213,068 = 213,068 : x
  2. Step 2: Convert to fraction form
    142,190/213,068 = 213,068/x
  3. Step 3: Cross multiply
    142,190x = 213,068 × 213,068
  4. Step 4: Simplify right side
    142,190x = 45,397,972,624
  5. Step 5: Solve for x
    x = 45,397,972,624/142,190
  6. Step 6: Final answer
    x = 319,276.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.