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Finding the Third Proportional to 8,469,480 and 18,461,616

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Solution

The third proportional to 8,469,480 and 18,461,616 is: 40,242,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469,480 : 18,461,616 = 18,461,616 : x
  2. Step 2: Convert to fraction form
    8,469,480/18,461,616 = 18,461,616/x
  3. Step 3: Cross multiply
    8,469,480x = 18,461,616 × 18,461,616
  4. Step 4: Simplify right side
    8,469,480x = 340,831,265,331,456
  5. Step 5: Solve for x
    x = 340,831,265,331,456/8,469,480
  6. Step 6: Final answer
    x = 40,242,289.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.