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Finding the Third Proportional to 311,907 and 470,079

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Solution

The third proportional to 311,907 and 470,079 is: 708,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,907 : 470,079 = 470,079 : x
  2. Step 2: Convert to fraction form
    311,907/470,079 = 470,079/x
  3. Step 3: Cross multiply
    311,907x = 470,079 × 470,079
  4. Step 4: Simplify right side
    311,907x = 220,974,266,241
  5. Step 5: Solve for x
    x = 220,974,266,241/311,907
  6. Step 6: Final answer
    x = 708,462.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.