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Finding the Third Proportional to 407,817 and 874,703

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Solution

The third proportional to 407,817 and 874,703 is: 1,876,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,817 : 874,703 = 874,703 : x
  2. Step 2: Convert to fraction form
    407,817/874,703 = 874,703/x
  3. Step 3: Cross multiply
    407,817x = 874,703 × 874,703
  4. Step 4: Simplify right side
    407,817x = 765,105,338,209
  5. Step 5: Solve for x
    x = 765,105,338,209/407,817
  6. Step 6: Final answer
    x = 1,876,099.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.