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Finding the Third Proportional to 136,789 and 204,636

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Solution

The third proportional to 136,789 and 204,636 is: 306,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,789 : 204,636 = 204,636 : x
  2. Step 2: Convert to fraction form
    136,789/204,636 = 204,636/x
  3. Step 3: Cross multiply
    136,789x = 204,636 × 204,636
  4. Step 4: Simplify right side
    136,789x = 41,875,892,496
  5. Step 5: Solve for x
    x = 41,875,892,496/136,789
  6. Step 6: Final answer
    x = 306,134.94

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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.