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Finding the Third Proportional to 299,190 and 645,942

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Solution

The third proportional to 299,190 and 645,942 is: 1,394,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,190 : 645,942 = 645,942 : x
  2. Step 2: Convert to fraction form
    299,190/645,942 = 645,942/x
  3. Step 3: Cross multiply
    299,190x = 645,942 × 645,942
  4. Step 4: Simplify right side
    299,190x = 417,241,067,364
  5. Step 5: Solve for x
    x = 417,241,067,364/299,190
  6. Step 6: Final answer
    x = 1,394,568.89

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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.