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Finding the Third Proportional to 201,604.50 and 291,431.25

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Solution

The third proportional to 201,604.50 and 291,431.25 is: 421,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,604.50 : 291,431.25 = 291,431.25 : x
  2. Step 2: Convert to fraction form
    201,604.50/291,431.25 = 291,431.25/x
  3. Step 3: Cross multiply
    201,604.50x = 291,431.25 × 291,431.25
  4. Step 4: Simplify right side
    201,604.50x = 84,932,173,476.56
  5. Step 5: Solve for x
    x = 84,932,173,476.56/201,604.50
  6. Step 6: Final answer
    x = 421,281.14

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.