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Finding the Third Proportional to 136,710 and 206,887

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Solution

The third proportional to 136,710 and 206,887 is: 313,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,710 : 206,887 = 206,887 : x
  2. Step 2: Convert to fraction form
    136,710/206,887 = 206,887/x
  3. Step 3: Cross multiply
    136,710x = 206,887 × 206,887
  4. Step 4: Simplify right side
    136,710x = 42,802,230,769
  5. Step 5: Solve for x
    x = 42,802,230,769/136,710
  6. Step 6: Final answer
    x = 313,087.78

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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.