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Finding the Third Proportional to 137,131 and 208,344

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Solution

The third proportional to 137,131 and 208,344 is: 316,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,131 : 208,344 = 208,344 : x
  2. Step 2: Convert to fraction form
    137,131/208,344 = 208,344/x
  3. Step 3: Cross multiply
    137,131x = 208,344 × 208,344
  4. Step 4: Simplify right side
    137,131x = 43,407,222,336
  5. Step 5: Solve for x
    x = 43,407,222,336/137,131
  6. Step 6: Final answer
    x = 316,538.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.