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Finding the Third Proportional to 433,893 and 949,110

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Solution

The third proportional to 433,893 and 949,110 is: 2,076,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,893 : 949,110 = 949,110 : x
  2. Step 2: Convert to fraction form
    433,893/949,110 = 949,110/x
  3. Step 3: Cross multiply
    433,893x = 949,110 × 949,110
  4. Step 4: Simplify right side
    433,893x = 900,809,792,100
  5. Step 5: Solve for x
    x = 900,809,792,100/433,893
  6. Step 6: Final answer
    x = 2,076,110.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.