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Finding the Third Proportional to 138,366 and 208,821

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Solution

The third proportional to 138,366 and 208,821 is: 315,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,366 : 208,821 = 208,821 : x
  2. Step 2: Convert to fraction form
    138,366/208,821 = 208,821/x
  3. Step 3: Cross multiply
    138,366x = 208,821 × 208,821
  4. Step 4: Simplify right side
    138,366x = 43,606,210,041
  5. Step 5: Solve for x
    x = 43,606,210,041/138,366
  6. Step 6: Final answer
    x = 315,151.19

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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.