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Finding the Third Proportional to 76,364,936,961 and 154,907,325,480

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Solution

The third proportional to 76,364,936,961 and 154,907,325,480 is: 314,231,641,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364,936,961 : 154,907,325,480 = 154,907,325,480 : x
  2. Step 2: Convert to fraction form
    76,364,936,961/154,907,325,480 = 154,907,325,480/x
  3. Step 3: Cross multiply
    76,364,936,961x = 154,907,325,480 × 154,907,325,480
  4. Step 4: Simplify right side
    76,364,936,961x = 23,996,279,487,366,657,212,416
  5. Step 5: Solve for x
    x = 23,996,279,487,366,657,212,416/76,364,936,961
  6. Step 6: Final answer
    x = 314,231,641,409.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.