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Finding the Third Proportional to 138,629.25 and 208,930.50

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Solution

The third proportional to 138,629.25 and 208,930.50 is: 314,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,629.25 : 208,930.50 = 208,930.50 : x
  2. Step 2: Convert to fraction form
    138,629.25/208,930.50 = 208,930.50/x
  3. Step 3: Cross multiply
    138,629.25x = 208,930.50 × 208,930.50
  4. Step 4: Simplify right side
    138,629.25x = 43,651,953,830.25
  5. Step 5: Solve for x
    x = 43,651,953,830.25/138,629.25
  6. Step 6: Final answer
    x = 314,882.71

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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.