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Finding the Third Proportional to 3,733,616 and 8,142,984

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Solution

The third proportional to 3,733,616 and 8,142,984 is: 17,759,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733,616 : 8,142,984 = 8,142,984 : x
  2. Step 2: Convert to fraction form
    3,733,616/8,142,984 = 8,142,984/x
  3. Step 3: Cross multiply
    3,733,616x = 8,142,984 × 8,142,984
  4. Step 4: Simplify right side
    3,733,616x = 66,308,188,424,256
  5. Step 5: Solve for x
    x = 66,308,188,424,256/3,733,616
  6. Step 6: Final answer
    x = 17,759,777.23

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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.