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Finding the Third Proportional to 289,809 and 622,464

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Solution

The third proportional to 289,809 and 622,464 is: 1,336,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809 : 622,464 = 622,464 : x
  2. Step 2: Convert to fraction form
    289,809/622,464 = 622,464/x
  3. Step 3: Cross multiply
    289,809x = 622,464 × 622,464
  4. Step 4: Simplify right side
    289,809x = 387,461,431,296
  5. Step 5: Solve for x
    x = 387,461,431,296/289,809
  6. Step 6: Final answer
    x = 1,336,954.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.