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Finding the Third Proportional to 433,890 and 949,104

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Solution

The third proportional to 433,890 and 949,104 is: 2,076,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,890 : 949,104 = 949,104 : x
  2. Step 2: Convert to fraction form
    433,890/949,104 = 949,104/x
  3. Step 3: Cross multiply
    433,890x = 949,104 × 949,104
  4. Step 4: Simplify right side
    433,890x = 900,798,402,816
  5. Step 5: Solve for x
    x = 900,798,402,816/433,890
  6. Step 6: Final answer
    x = 2,076,098.56

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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.