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Finding the Third Proportional to 101,383,120.13 and 208,140,823.13

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Solution

The third proportional to 101,383,120.13 and 208,140,823.13 is: 427,315,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,383,120.13 : 208,140,823.13 = 208,140,823.13 : x
  2. Step 2: Convert to fraction form
    101,383,120.13/208,140,823.13 = 208,140,823.13/x
  3. Step 3: Cross multiply
    101,383,120.13x = 208,140,823.13 × 208,140,823.13
  4. Step 4: Simplify right side
    101,383,120.13x = 43,322,602,251,152,536
  5. Step 5: Solve for x
    x = 43,322,602,251,152,536/101,383,120.13
  6. Step 6: Final answer
    x = 427,315,732.62

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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.