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Finding the Third Proportional to 200,737 and 445,753

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Solution

The third proportional to 200,737 and 445,753 is: 989,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,737 : 445,753 = 445,753 : x
  2. Step 2: Convert to fraction form
    200,737/445,753 = 445,753/x
  3. Step 3: Cross multiply
    200,737x = 445,753 × 445,753
  4. Step 4: Simplify right side
    200,737x = 198,695,737,009
  5. Step 5: Solve for x
    x = 198,695,737,009/200,737
  6. Step 6: Final answer
    x = 989,831.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.