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Finding the Third Proportional to 207,816 and 311,964

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Solution

The third proportional to 207,816 and 311,964 is: 468,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816 : 311,964 = 311,964 : x
  2. Step 2: Convert to fraction form
    207,816/311,964 = 311,964/x
  3. Step 3: Cross multiply
    207,816x = 311,964 × 311,964
  4. Step 4: Simplify right side
    207,816x = 97,321,537,296
  5. Step 5: Solve for x
    x = 97,321,537,296/207,816
  6. Step 6: Final answer
    x = 468,306.28

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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.