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Finding the Third Proportional to 299,633.63 and 643,735.13

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Solution

The third proportional to 299,633.63 and 643,735.13 is: 1,383,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,633.63 : 643,735.13 = 643,735.13 : x
  2. Step 2: Convert to fraction form
    299,633.63/643,735.13 = 643,735.13/x
  3. Step 3: Cross multiply
    299,633.63x = 643,735.13 × 643,735.13
  4. Step 4: Simplify right side
    299,633.63x = 414,394,911,158.77
  5. Step 5: Solve for x
    x = 414,394,911,158.77/299,633.63
  6. Step 6: Final answer
    x = 1,383,005.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.