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Finding the Third Proportional to 139,244.06 and 209,172.38

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Solution

The third proportional to 139,244.06 and 209,172.38 is: 314,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,244.06 : 209,172.38 = 209,172.38 : x
  2. Step 2: Convert to fraction form
    139,244.06/209,172.38 = 209,172.38/x
  3. Step 3: Cross multiply
    139,244.06x = 209,172.38 × 209,172.38
  4. Step 4: Simplify right side
    139,244.06x = 43,753,082,463.14
  5. Step 5: Solve for x
    x = 43,753,082,463.14/139,244.06
  6. Step 6: Final answer
    x = 314,218.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.