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Finding the Third Proportional to 139,113.70 and 210,635.44

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Solution

The third proportional to 139,113.70 and 210,635.44 is: 318,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,113.70 : 210,635.44 = 210,635.44 : x
  2. Step 2: Convert to fraction form
    139,113.70/210,635.44 = 210,635.44/x
  3. Step 3: Cross multiply
    139,113.70x = 210,635.44 × 210,635.44
  4. Step 4: Simplify right side
    139,113.70x = 44,367,287,530.82
  5. Step 5: Solve for x
    x = 44,367,287,530.82/139,113.70
  6. Step 6: Final answer
    x = 318,928.23

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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.