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Finding the Third Proportional to 138,704 and 208,853

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Solution

The third proportional to 138,704 and 208,853 is: 314,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,704 : 208,853 = 208,853 : x
  2. Step 2: Convert to fraction form
    138,704/208,853 = 208,853/x
  3. Step 3: Cross multiply
    138,704x = 208,853 × 208,853
  4. Step 4: Simplify right side
    138,704x = 43,619,575,609
  5. Step 5: Solve for x
    x = 43,619,575,609/138,704
  6. Step 6: Final answer
    x = 314,479.58

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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.