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Finding the Third Proportional to 166,867 and 345,557

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Solution

The third proportional to 166,867 and 345,557 is: 715,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,867 : 345,557 = 345,557 : x
  2. Step 2: Convert to fraction form
    166,867/345,557 = 345,557/x
  3. Step 3: Cross multiply
    166,867x = 345,557 × 345,557
  4. Step 4: Simplify right side
    166,867x = 119,409,640,249
  5. Step 5: Solve for x
    x = 119,409,640,249/166,867
  6. Step 6: Final answer
    x = 715,597.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.