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Finding the Third Proportional to 64,233,860,256 and 139,141,400,256

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Solution

The third proportional to 64,233,860,256 and 139,141,400,256 is: 301,403,795,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,233,860,256 : 139,141,400,256 = 139,141,400,256 : x
  2. Step 2: Convert to fraction form
    64,233,860,256/139,141,400,256 = 139,141,400,256/x
  3. Step 3: Cross multiply
    64,233,860,256x = 139,141,400,256 × 139,141,400,256
  4. Step 4: Simplify right side
    64,233,860,256x = 19,360,329,265,200,395,976,704
  5. Step 5: Solve for x
    x = 19,360,329,265,200,395,976,704/64,233,860,256
  6. Step 6: Final answer
    x = 301,403,795,257.53

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