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Finding the Third Proportional to 301,824 and 408,448

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Solution

The third proportional to 301,824 and 408,448 is: 552,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,824 : 408,448 = 408,448 : x
  2. Step 2: Convert to fraction form
    301,824/408,448 = 408,448/x
  3. Step 3: Cross multiply
    301,824x = 408,448 × 408,448
  4. Step 4: Simplify right side
    301,824x = 166,829,768,704
  5. Step 5: Solve for x
    x = 166,829,768,704/301,824
  6. Step 6: Final answer
    x = 552,738.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.