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Finding the Third Proportional to 102,923 and 208,708

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Solution

The third proportional to 102,923 and 208,708 is: 423,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,923 : 208,708 = 208,708 : x
  2. Step 2: Convert to fraction form
    102,923/208,708 = 208,708/x
  3. Step 3: Cross multiply
    102,923x = 208,708 × 208,708
  4. Step 4: Simplify right side
    102,923x = 43,559,029,264
  5. Step 5: Solve for x
    x = 43,559,029,264/102,923
  6. Step 6: Final answer
    x = 423,219.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.