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Finding the Third Proportional to 207,028 and 320,686

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Solution

The third proportional to 207,028 and 320,686 is: 496,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,028 : 320,686 = 320,686 : x
  2. Step 2: Convert to fraction form
    207,028/320,686 = 320,686/x
  3. Step 3: Cross multiply
    207,028x = 320,686 × 320,686
  4. Step 4: Simplify right side
    207,028x = 102,839,510,596
  5. Step 5: Solve for x
    x = 102,839,510,596/207,028
  6. Step 6: Final answer
    x = 496,742.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.