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Finding the Third Proportional to 311,900 and 470,069

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Solution

The third proportional to 311,900 and 470,069 is: 708,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,900 : 470,069 = 470,069 : x
  2. Step 2: Convert to fraction form
    311,900/470,069 = 470,069/x
  3. Step 3: Cross multiply
    311,900x = 470,069 × 470,069
  4. Step 4: Simplify right side
    311,900x = 220,964,864,761
  5. Step 5: Solve for x
    x = 220,964,864,761/311,900
  6. Step 6: Final answer
    x = 708,447.79

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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.