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Finding the Third Proportional to 136,544 and 206,724

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Solution

The third proportional to 136,544 and 206,724 is: 312,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,544 : 206,724 = 206,724 : x
  2. Step 2: Convert to fraction form
    136,544/206,724 = 206,724/x
  3. Step 3: Cross multiply
    136,544x = 206,724 × 206,724
  4. Step 4: Simplify right side
    136,544x = 42,734,812,176
  5. Step 5: Solve for x
    x = 42,734,812,176/136,544
  6. Step 6: Final answer
    x = 312,974.66

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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.