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Finding the Third Proportional to 136,765 and 206,969

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Solution

The third proportional to 136,765 and 206,969 is: 313,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,765 : 206,969 = 206,969 : x
  2. Step 2: Convert to fraction form
    136,765/206,969 = 206,969/x
  3. Step 3: Cross multiply
    136,765x = 206,969 × 206,969
  4. Step 4: Simplify right side
    136,765x = 42,836,166,961
  5. Step 5: Solve for x
    x = 42,836,166,961/136,765
  6. Step 6: Final answer
    x = 313,210.01

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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.