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Finding the Third Proportional to 213,668 and 309,478

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Solution

The third proportional to 213,668 and 309,478 is: 448,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,668 : 309,478 = 309,478 : x
  2. Step 2: Convert to fraction form
    213,668/309,478 = 309,478/x
  3. Step 3: Cross multiply
    213,668x = 309,478 × 309,478
  4. Step 4: Simplify right side
    213,668x = 95,776,632,484
  5. Step 5: Solve for x
    x = 95,776,632,484/213,668
  6. Step 6: Final answer
    x = 448,249.77

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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.