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Finding the Third Proportional to 203,985 and 293,845.50

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Solution

The third proportional to 203,985 and 293,845.50 is: 423,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,985 : 293,845.50 = 293,845.50 : x
  2. Step 2: Convert to fraction form
    203,985/293,845.50 = 293,845.50/x
  3. Step 3: Cross multiply
    203,985x = 293,845.50 × 293,845.50
  4. Step 4: Simplify right side
    203,985x = 86,345,177,870.25
  5. Step 5: Solve for x
    x = 86,345,177,870.25/203,985
  6. Step 6: Final answer
    x = 423,291.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.