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Finding the Third Proportional to 373,860 and 810,819

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Solution

The third proportional to 373,860 and 810,819 is: 1,758,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,860 : 810,819 = 810,819 : x
  2. Step 2: Convert to fraction form
    373,860/810,819 = 810,819/x
  3. Step 3: Cross multiply
    373,860x = 810,819 × 810,819
  4. Step 4: Simplify right side
    373,860x = 657,427,450,761
  5. Step 5: Solve for x
    x = 657,427,450,761/373,860
  6. Step 6: Final answer
    x = 1,758,485.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.