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Finding the Third Proportional to 299,220 and 645,994

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Solution

The third proportional to 299,220 and 645,994 is: 1,394,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,220 : 645,994 = 645,994 : x
  2. Step 2: Convert to fraction form
    299,220/645,994 = 645,994/x
  3. Step 3: Cross multiply
    299,220x = 645,994 × 645,994
  4. Step 4: Simplify right side
    299,220x = 417,308,248,036
  5. Step 5: Solve for x
    x = 417,308,248,036/299,220
  6. Step 6: Final answer
    x = 1,394,653.59

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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.