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Finding the Third Proportional to 135,903 and 290,506.50

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Solution

The third proportional to 135,903 and 290,506.50 is: 620,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,903 : 290,506.50 = 290,506.50 : x
  2. Step 2: Convert to fraction form
    135,903/290,506.50 = 290,506.50/x
  3. Step 3: Cross multiply
    135,903x = 290,506.50 × 290,506.50
  4. Step 4: Simplify right side
    135,903x = 84,394,026,542.25
  5. Step 5: Solve for x
    x = 84,394,026,542.25/135,903
  6. Step 6: Final answer
    x = 620,987.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.