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Finding the Third Proportional to 138,119 and 207,693

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Solution

The third proportional to 138,119 and 207,693 is: 312,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,119 : 207,693 = 207,693 : x
  2. Step 2: Convert to fraction form
    138,119/207,693 = 207,693/x
  3. Step 3: Cross multiply
    138,119x = 207,693 × 207,693
  4. Step 4: Simplify right side
    138,119x = 43,136,382,249
  5. Step 5: Solve for x
    x = 43,136,382,249/138,119
  6. Step 6: Final answer
    x = 312,313.17

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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.