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Finding the Third Proportional to 139,208.63 and 208,448.44

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Solution

The third proportional to 139,208.63 and 208,448.44 is: 312,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,208.63 : 208,448.44 = 208,448.44 : x
  2. Step 2: Convert to fraction form
    139,208.63/208,448.44 = 208,448.44/x
  3. Step 3: Cross multiply
    139,208.63x = 208,448.44 × 208,448.44
  4. Step 4: Simplify right side
    139,208.63x = 43,450,751,096.19
  5. Step 5: Solve for x
    x = 43,450,751,096.19/139,208.63
  6. Step 6: Final answer
    x = 312,126.86

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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.