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Finding the Third Proportional to 138,789 and 207,804

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Solution

The third proportional to 138,789 and 207,804 is: 311,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,789 : 207,804 = 207,804 : x
  2. Step 2: Convert to fraction form
    138,789/207,804 = 207,804/x
  3. Step 3: Cross multiply
    138,789x = 207,804 × 207,804
  4. Step 4: Simplify right side
    138,789x = 43,182,502,416
  5. Step 5: Solve for x
    x = 43,182,502,416/138,789
  6. Step 6: Final answer
    x = 311,137.79

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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.