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Finding the Third Proportional to 299,218 and 645,990

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Solution

The third proportional to 299,218 and 645,990 is: 1,394,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,218 : 645,990 = 645,990 : x
  2. Step 2: Convert to fraction form
    299,218/645,990 = 645,990/x
  3. Step 3: Cross multiply
    299,218x = 645,990 × 645,990
  4. Step 4: Simplify right side
    299,218x = 417,303,080,100
  5. Step 5: Solve for x
    x = 417,303,080,100/299,218
  6. Step 6: Final answer
    x = 1,394,645.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.