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Finding the Third Proportional to 213,921 and 302,562

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Solution

The third proportional to 213,921 and 302,562 is: 427,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,921 : 302,562 = 302,562 : x
  2. Step 2: Convert to fraction form
    213,921/302,562 = 302,562/x
  3. Step 3: Cross multiply
    213,921x = 302,562 × 302,562
  4. Step 4: Simplify right side
    213,921x = 91,543,763,844
  5. Step 5: Solve for x
    x = 91,543,763,844/213,921
  6. Step 6: Final answer
    x = 427,932.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.