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Finding the Third Proportional to 207,729 and 339,169

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Solution

The third proportional to 207,729 and 339,169 is: 553,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,729 : 339,169 = 339,169 : x
  2. Step 2: Convert to fraction form
    207,729/339,169 = 339,169/x
  3. Step 3: Cross multiply
    207,729x = 339,169 × 339,169
  4. Step 4: Simplify right side
    207,729x = 115,035,610,561
  5. Step 5: Solve for x
    x = 115,035,610,561/207,729
  6. Step 6: Final answer
    x = 553,777.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.