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Finding the Third Proportional to 139,731.75 and 197,528.63

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Solution

The third proportional to 139,731.75 and 197,528.63 is: 279,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,731.75 : 197,528.63 = 197,528.63 : x
  2. Step 2: Convert to fraction form
    139,731.75/197,528.63 = 197,528.63/x
  3. Step 3: Cross multiply
    139,731.75x = 197,528.63 × 197,528.63
  4. Step 4: Simplify right side
    139,731.75x = 39,017,557,694.39
  5. Step 5: Solve for x
    x = 39,017,557,694.39/139,731.75
  6. Step 6: Final answer
    x = 279,231.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.