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Finding the Third Proportional to 136,573 and 206,777

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Solution

The third proportional to 136,573 and 206,777 is: 313,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,573 : 206,777 = 206,777 : x
  2. Step 2: Convert to fraction form
    136,573/206,777 = 206,777/x
  3. Step 3: Cross multiply
    136,573x = 206,777 × 206,777
  4. Step 4: Simplify right side
    136,573x = 42,756,727,729
  5. Step 5: Solve for x
    x = 42,756,727,729/136,573
  6. Step 6: Final answer
    x = 313,068.67

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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.