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Finding the Third Proportional to 448,770 and 968,889

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Solution

The third proportional to 448,770 and 968,889 is: 2,091,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,770 : 968,889 = 968,889 : x
  2. Step 2: Convert to fraction form
    448,770/968,889 = 968,889/x
  3. Step 3: Cross multiply
    448,770x = 968,889 × 968,889
  4. Step 4: Simplify right side
    448,770x = 938,745,894,321
  5. Step 5: Solve for x
    x = 938,745,894,321/448,770
  6. Step 6: Final answer
    x = 2,091,819.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.