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Finding the Third Proportional to 138,759 and 208,158

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Solution

The third proportional to 138,759 and 208,158 is: 312,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,759 : 208,158 = 208,158 : x
  2. Step 2: Convert to fraction form
    138,759/208,158 = 208,158/x
  3. Step 3: Cross multiply
    138,759x = 208,158 × 208,158
  4. Step 4: Simplify right side
    138,759x = 43,329,752,964
  5. Step 5: Solve for x
    x = 43,329,752,964/138,759
  6. Step 6: Final answer
    x = 312,266.25

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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.