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Finding the Third Proportional to 136,206 and 288,794

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Solution

The third proportional to 136,206 and 288,794 is: 612,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,206 : 288,794 = 288,794 : x
  2. Step 2: Convert to fraction form
    136,206/288,794 = 288,794/x
  3. Step 3: Cross multiply
    136,206x = 288,794 × 288,794
  4. Step 4: Simplify right side
    136,206x = 83,401,974,436
  5. Step 5: Solve for x
    x = 83,401,974,436/136,206
  6. Step 6: Final answer
    x = 612,322.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.