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Finding the Third Proportional to 139,108.50 and 202,830.75

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Solution

The third proportional to 139,108.50 and 202,830.75 is: 295,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,108.50 : 202,830.75 = 202,830.75 : x
  2. Step 2: Convert to fraction form
    139,108.50/202,830.75 = 202,830.75/x
  3. Step 3: Cross multiply
    139,108.50x = 202,830.75 × 202,830.75
  4. Step 4: Simplify right side
    139,108.50x = 41,140,313,145.56
  5. Step 5: Solve for x
    x = 41,140,313,145.56/139,108.50
  6. Step 6: Final answer
    x = 295,742.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.