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Finding the Third Proportional to 142,198.38 and 306,073.41

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Solution

The third proportional to 142,198.38 and 306,073.41 is: 658,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,198.38 : 306,073.41 = 306,073.41 : x
  2. Step 2: Convert to fraction form
    142,198.38/306,073.41 = 306,073.41/x
  3. Step 3: Cross multiply
    142,198.38x = 306,073.41 × 306,073.41
  4. Step 4: Simplify right side
    142,198.38x = 93,680,934,216.77
  5. Step 5: Solve for x
    x = 93,680,934,216.77/142,198.38
  6. Step 6: Final answer
    x = 658,804.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.