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Finding the Third Proportional to 142,229.25 and 214,243.88

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Solution

The third proportional to 142,229.25 and 214,243.88 is: 322,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,229.25 : 214,243.88 = 214,243.88 : x
  2. Step 2: Convert to fraction form
    142,229.25/214,243.88 = 214,243.88/x
  3. Step 3: Cross multiply
    142,229.25x = 214,243.88 × 214,243.88
  4. Step 4: Simplify right side
    142,229.25x = 45,900,437,975.02
  5. Step 5: Solve for x
    x = 45,900,437,975.02/142,229.25
  6. Step 6: Final answer
    x = 322,721.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.