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Finding the Third Proportional to 138,676 and 208,994

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Solution

The third proportional to 138,676 and 208,994 is: 314,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,676 : 208,994 = 208,994 : x
  2. Step 2: Convert to fraction form
    138,676/208,994 = 208,994/x
  3. Step 3: Cross multiply
    138,676x = 208,994 × 208,994
  4. Step 4: Simplify right side
    138,676x = 43,678,492,036
  5. Step 5: Solve for x
    x = 43,678,492,036/138,676
  6. Step 6: Final answer
    x = 314,967.93

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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.