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Finding the Third Proportional to 101,383,116.75 and 208,140,808.50

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Solution

The third proportional to 101,383,116.75 and 208,140,808.50 is: 427,315,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,383,116.75 : 208,140,808.50 = 208,140,808.50 : x
  2. Step 2: Convert to fraction form
    101,383,116.75/208,140,808.50 = 208,140,808.50/x
  3. Step 3: Cross multiply
    101,383,116.75x = 208,140,808.50 × 208,140,808.50
  4. Step 4: Simplify right side
    101,383,116.75x = 43,322,596,163,033,672
  5. Step 5: Solve for x
    x = 43,322,596,163,033,672/101,383,116.75
  6. Step 6: Final answer
    x = 427,315,686.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.