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Finding the Third Proportional to 407,162 and 886,603

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Solution

The third proportional to 407,162 and 886,603 is: 1,930,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,162 : 886,603 = 886,603 : x
  2. Step 2: Convert to fraction form
    407,162/886,603 = 886,603/x
  3. Step 3: Cross multiply
    407,162x = 886,603 × 886,603
  4. Step 4: Simplify right side
    407,162x = 786,064,879,609
  5. Step 5: Solve for x
    x = 786,064,879,609/407,162
  6. Step 6: Final answer
    x = 1,930,594.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.