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Finding the Third Proportional to 136,530 and 206,703

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Solution

The third proportional to 136,530 and 206,703 is: 312,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,530 : 206,703 = 206,703 : x
  2. Step 2: Convert to fraction form
    136,530/206,703 = 206,703/x
  3. Step 3: Cross multiply
    136,530x = 206,703 × 206,703
  4. Step 4: Simplify right side
    136,530x = 42,726,130,209
  5. Step 5: Solve for x
    x = 42,726,130,209/136,530
  6. Step 6: Final answer
    x = 312,943.16

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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.