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Finding the Third Proportional to 120,903 and 190,629

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Solution

The third proportional to 120,903 and 190,629 is: 300,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,903 : 190,629 = 190,629 : x
  2. Step 2: Convert to fraction form
    120,903/190,629 = 190,629/x
  3. Step 3: Cross multiply
    120,903x = 190,629 × 190,629
  4. Step 4: Simplify right side
    120,903x = 36,339,415,641
  5. Step 5: Solve for x
    x = 36,339,415,641/120,903
  6. Step 6: Final answer
    x = 300,566.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.