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Finding the Third Proportional to 433,892 and 949,108

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Solution

The third proportional to 433,892 and 949,108 is: 2,076,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,892 : 949,108 = 949,108 : x
  2. Step 2: Convert to fraction form
    433,892/949,108 = 949,108/x
  3. Step 3: Cross multiply
    433,892x = 949,108 × 949,108
  4. Step 4: Simplify right side
    433,892x = 900,805,995,664
  5. Step 5: Solve for x
    x = 900,805,995,664/433,892
  6. Step 6: Final answer
    x = 2,076,106.49

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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.