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Finding the Third Proportional to 139,831,824 and 211,690,728

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Solution

The third proportional to 139,831,824 and 211,690,728 is: 320,477,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,831,824 : 211,690,728 = 211,690,728 : x
  2. Step 2: Convert to fraction form
    139,831,824/211,690,728 = 211,690,728/x
  3. Step 3: Cross multiply
    139,831,824x = 211,690,728 × 211,690,728
  4. Step 4: Simplify right side
    139,831,824x = 44,812,964,321,169,984
  5. Step 5: Solve for x
    x = 44,812,964,321,169,984/139,831,824
  6. Step 6: Final answer
    x = 320,477,578.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.