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Finding the Third Proportional to 448,864 and 982,196

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Solution

The third proportional to 448,864 and 982,196 is: 2,149,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,864 : 982,196 = 982,196 : x
  2. Step 2: Convert to fraction form
    448,864/982,196 = 982,196/x
  3. Step 3: Cross multiply
    448,864x = 982,196 × 982,196
  4. Step 4: Simplify right side
    448,864x = 964,708,982,416
  5. Step 5: Solve for x
    x = 964,708,982,416/448,864
  6. Step 6: Final answer
    x = 2,149,223.33

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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.