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Finding the Third Proportional to 298,605 and 649,695

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Solution

The third proportional to 298,605 and 649,695 is: 1,413,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,605 : 649,695 = 649,695 : x
  2. Step 2: Convert to fraction form
    298,605/649,695 = 649,695/x
  3. Step 3: Cross multiply
    298,605x = 649,695 × 649,695
  4. Step 4: Simplify right side
    298,605x = 422,103,593,025
  5. Step 5: Solve for x
    x = 422,103,593,025/298,605
  6. Step 6: Final answer
    x = 1,413,585.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.