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Finding the Third Proportional to 213,480 and 309,204

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Solution

The third proportional to 213,480 and 309,204 is: 447,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,480 : 309,204 = 309,204 : x
  2. Step 2: Convert to fraction form
    213,480/309,204 = 309,204/x
  3. Step 3: Cross multiply
    213,480x = 309,204 × 309,204
  4. Step 4: Simplify right side
    213,480x = 95,607,113,616
  5. Step 5: Solve for x
    x = 95,607,113,616/213,480
  6. Step 6: Final answer
    x = 447,850.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.