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Finding the Third Proportional to 142,770 and 214,154

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Solution

The third proportional to 142,770 and 214,154 is: 321,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,770 : 214,154 = 214,154 : x
  2. Step 2: Convert to fraction form
    142,770/214,154 = 214,154/x
  3. Step 3: Cross multiply
    142,770x = 214,154 × 214,154
  4. Step 4: Simplify right side
    142,770x = 45,861,935,716
  5. Step 5: Solve for x
    x = 45,861,935,716/142,770
  6. Step 6: Final answer
    x = 321,229.50

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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.