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Finding the Third Proportional to 207,772 and 311,898

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Solution

The third proportional to 207,772 and 311,898 is: 468,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,772 : 311,898 = 311,898 : x
  2. Step 2: Convert to fraction form
    207,772/311,898 = 311,898/x
  3. Step 3: Cross multiply
    207,772x = 311,898 × 311,898
  4. Step 4: Simplify right side
    207,772x = 97,280,362,404
  5. Step 5: Solve for x
    x = 97,280,362,404/207,772
  6. Step 6: Final answer
    x = 468,207.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.