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Finding the Third Proportional to 108,190,107 and 255,142,311.75

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Solution

The third proportional to 108,190,107 and 255,142,311.75 is: 601,696,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,190,107 : 255,142,311.75 = 255,142,311.75 : x
  2. Step 2: Convert to fraction form
    108,190,107/255,142,311.75 = 255,142,311.75/x
  3. Step 3: Cross multiply
    108,190,107x = 255,142,311.75 × 255,142,311.75
  4. Step 4: Simplify right side
    108,190,107x = 65,097,599,245,134,192
  5. Step 5: Solve for x
    x = 65,097,599,245,134,192/108,190,107
  6. Step 6: Final answer
    x = 601,696,412.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.