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Finding the Third Proportional to 298,049 and 645,823

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Solution

The third proportional to 298,049 and 645,823 is: 1,399,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049 : 645,823 = 645,823 : x
  2. Step 2: Convert to fraction form
    298,049/645,823 = 645,823/x
  3. Step 3: Cross multiply
    298,049x = 645,823 × 645,823
  4. Step 4: Simplify right side
    298,049x = 417,087,347,329
  5. Step 5: Solve for x
    x = 417,087,347,329/298,049
  6. Step 6: Final answer
    x = 1,399,391.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.