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Finding the Third Proportional to 405,939 and 918,135

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Solution

The third proportional to 405,939 and 918,135 is: 2,076,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,939 : 918,135 = 918,135 : x
  2. Step 2: Convert to fraction form
    405,939/918,135 = 918,135/x
  3. Step 3: Cross multiply
    405,939x = 918,135 × 918,135
  4. Step 4: Simplify right side
    405,939x = 842,971,878,225
  5. Step 5: Solve for x
    x = 842,971,878,225/405,939
  6. Step 6: Final answer
    x = 2,076,597.42

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.