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Finding the Third Proportional to 7,663,456 and 12,771,912

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Solution

The third proportional to 7,663,456 and 12,771,912 is: 21,285,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,456 : 12,771,912 = 12,771,912 : x
  2. Step 2: Convert to fraction form
    7,663,456/12,771,912 = 12,771,912/x
  3. Step 3: Cross multiply
    7,663,456x = 12,771,912 × 12,771,912
  4. Step 4: Simplify right side
    7,663,456x = 163,121,736,135,744
  5. Step 5: Solve for x
    x = 163,121,736,135,744/7,663,456
  6. Step 6: Final answer
    x = 21,285,662.26

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.