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Finding the Third Proportional to 221,824 and 310,448

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Solution

The third proportional to 221,824 and 310,448 is: 434,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824 : 310,448 = 310,448 : x
  2. Step 2: Convert to fraction form
    221,824/310,448 = 310,448/x
  3. Step 3: Cross multiply
    221,824x = 310,448 × 310,448
  4. Step 4: Simplify right side
    221,824x = 96,377,960,704
  5. Step 5: Solve for x
    x = 96,377,960,704/221,824
  6. Step 6: Final answer
    x = 434,479.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.