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Finding the Third Proportional to 203,868 and 311,658

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Solution

The third proportional to 203,868 and 311,658 is: 476,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,868 : 311,658 = 311,658 : x
  2. Step 2: Convert to fraction form
    203,868/311,658 = 311,658/x
  3. Step 3: Cross multiply
    203,868x = 311,658 × 311,658
  4. Step 4: Simplify right side
    203,868x = 97,130,708,964
  5. Step 5: Solve for x
    x = 97,130,708,964/203,868
  6. Step 6: Final answer
    x = 476,439.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.