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Finding the Third Proportional to 200,746 and 311,005

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Solution

The third proportional to 200,746 and 311,005 is: 481,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,746 : 311,005 = 311,005 : x
  2. Step 2: Convert to fraction form
    200,746/311,005 = 311,005/x
  3. Step 3: Cross multiply
    200,746x = 311,005 × 311,005
  4. Step 4: Simplify right side
    200,746x = 96,724,110,025
  5. Step 5: Solve for x
    x = 96,724,110,025/200,746
  6. Step 6: Final answer
    x = 481,823.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.