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Finding the Third Proportional to 213,921 and 411,399

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Solution

The third proportional to 213,921 and 411,399 is: 791,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,921 : 411,399 = 411,399 : x
  2. Step 2: Convert to fraction form
    213,921/411,399 = 411,399/x
  3. Step 3: Cross multiply
    213,921x = 411,399 × 411,399
  4. Step 4: Simplify right side
    213,921x = 169,249,137,201
  5. Step 5: Solve for x
    x = 169,249,137,201/213,921
  6. Step 6: Final answer
    x = 791,175.89

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.