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Finding the Third Proportional to 299,210 and 645,974

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Solution

The third proportional to 299,210 and 645,974 is: 1,394,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,210 : 645,974 = 645,974 : x
  2. Step 2: Convert to fraction form
    299,210/645,974 = 645,974/x
  3. Step 3: Cross multiply
    299,210x = 645,974 × 645,974
  4. Step 4: Simplify right side
    299,210x = 417,282,408,676
  5. Step 5: Solve for x
    x = 417,282,408,676/299,210
  6. Step 6: Final answer
    x = 1,394,613.85

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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.