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Finding the Third Proportional to 298,243 and 451,709

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Solution

The third proportional to 298,243 and 451,709 is: 684,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,243 : 451,709 = 451,709 : x
  2. Step 2: Convert to fraction form
    298,243/451,709 = 451,709/x
  3. Step 3: Cross multiply
    298,243x = 451,709 × 451,709
  4. Step 4: Simplify right side
    298,243x = 204,041,020,681
  5. Step 5: Solve for x
    x = 204,041,020,681/298,243
  6. Step 6: Final answer
    x = 684,143.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.