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Finding the Third Proportional to 211,702 and 300,921

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Solution

The third proportional to 211,702 and 300,921 is: 427,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,702 : 300,921 = 300,921 : x
  2. Step 2: Convert to fraction form
    211,702/300,921 = 300,921/x
  3. Step 3: Cross multiply
    211,702x = 300,921 × 300,921
  4. Step 4: Simplify right side
    211,702x = 90,553,448,241
  5. Step 5: Solve for x
    x = 90,553,448,241/211,702
  6. Step 6: Final answer
    x = 427,740.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.