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Finding the Third Proportional to 311,818 and 456,063

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Solution

The third proportional to 311,818 and 456,063 is: 667,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,818 : 456,063 = 456,063 : x
  2. Step 2: Convert to fraction form
    311,818/456,063 = 456,063/x
  3. Step 3: Cross multiply
    311,818x = 456,063 × 456,063
  4. Step 4: Simplify right side
    311,818x = 207,993,459,969
  5. Step 5: Solve for x
    x = 207,993,459,969/311,818
  6. Step 6: Final answer
    x = 667,034.81

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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.