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Finding the Third Proportional to 405,242 and 879,172

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Solution

The third proportional to 405,242 and 879,172 is: 1,907,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,242 : 879,172 = 879,172 : x
  2. Step 2: Convert to fraction form
    405,242/879,172 = 879,172/x
  3. Step 3: Cross multiply
    405,242x = 879,172 × 879,172
  4. Step 4: Simplify right side
    405,242x = 772,943,405,584
  5. Step 5: Solve for x
    x = 772,943,405,584/405,242
  6. Step 6: Final answer
    x = 1,907,362.53

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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.