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Finding the Third Proportional to 448,100 and 948,676

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Solution

The third proportional to 448,100 and 948,676 is: 2,008,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,100 : 948,676 = 948,676 : x
  2. Step 2: Convert to fraction form
    448,100/948,676 = 948,676/x
  3. Step 3: Cross multiply
    448,100x = 948,676 × 948,676
  4. Step 4: Simplify right side
    448,100x = 899,986,152,976
  5. Step 5: Solve for x
    x = 899,986,152,976/448,100
  6. Step 6: Final answer
    x = 2,008,449.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.