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Finding the Third Proportional to 405,938 and 918,137

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Solution

The third proportional to 405,938 and 918,137 is: 2,076,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,938 : 918,137 = 918,137 : x
  2. Step 2: Convert to fraction form
    405,938/918,137 = 918,137/x
  3. Step 3: Cross multiply
    405,938x = 918,137 × 918,137
  4. Step 4: Simplify right side
    405,938x = 842,975,550,769
  5. Step 5: Solve for x
    x = 842,975,550,769/405,938
  6. Step 6: Final answer
    x = 2,076,611.58

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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.