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Finding the Third Proportional to 311,868 and 456,138

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Solution

The third proportional to 311,868 and 456,138 is: 667,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,868 : 456,138 = 456,138 : x
  2. Step 2: Convert to fraction form
    311,868/456,138 = 456,138/x
  3. Step 3: Cross multiply
    311,868x = 456,138 × 456,138
  4. Step 4: Simplify right side
    311,868x = 208,061,875,044
  5. Step 5: Solve for x
    x = 208,061,875,044/311,868
  6. Step 6: Final answer
    x = 667,147.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.