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Finding the Third Proportional to 136,505 and 206,666

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Solution

The third proportional to 136,505 and 206,666 is: 312,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,505 : 206,666 = 206,666 : x
  2. Step 2: Convert to fraction form
    136,505/206,666 = 206,666/x
  3. Step 3: Cross multiply
    136,505x = 206,666 × 206,666
  4. Step 4: Simplify right side
    136,505x = 42,710,835,556
  5. Step 5: Solve for x
    x = 42,710,835,556/136,505
  6. Step 6: Final answer
    x = 312,888.43

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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.