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Finding the Third Proportional to 428,221,113 and 681,383,973

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Solution

The third proportional to 428,221,113 and 681,383,973 is: 1,084,215,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,221,113 : 681,383,973 = 681,383,973 : x
  2. Step 2: Convert to fraction form
    428,221,113/681,383,973 = 681,383,973/x
  3. Step 3: Cross multiply
    428,221,113x = 681,383,973 × 681,383,973
  4. Step 4: Simplify right side
    428,221,113x = 464,284,118,661,264,704
  5. Step 5: Solve for x
    x = 464,284,118,661,264,704/428,221,113
  6. Step 6: Final answer
    x = 1,084,215,851.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.