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Finding the Third Proportional to 312,665,716 and 416,840,166

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Solution

The third proportional to 312,665,716 and 416,840,166 is: 555,723,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,665,716 : 416,840,166 = 416,840,166 : x
  2. Step 2: Convert to fraction form
    312,665,716/416,840,166 = 416,840,166/x
  3. Step 3: Cross multiply
    312,665,716x = 416,840,166 × 416,840,166
  4. Step 4: Simplify right side
    312,665,716x = 173,755,723,990,907,552
  5. Step 5: Solve for x
    x = 173,755,723,990,907,552/312,665,716
  6. Step 6: Final answer
    x = 555,723,621.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.