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Finding the Third Proportional to 668,769,728 and 1,449,142,128

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Solution

The third proportional to 668,769,728 and 1,449,142,128 is: 3,140,113,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,769,728 : 1,449,142,128 = 1,449,142,128 : x
  2. Step 2: Convert to fraction form
    668,769,728/1,449,142,128 = 1,449,142,128/x
  3. Step 3: Cross multiply
    668,769,728x = 1,449,142,128 × 1,449,142,128
  4. Step 4: Simplify right side
    668,769,728x = 2,100,012,907,144,368,384
  5. Step 5: Solve for x
    x = 2,100,012,907,144,368,384/668,769,728
  6. Step 6: Final answer
    x = 3,140,113,583.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.