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Finding the Third Proportional to 201,406.50 and 443,306.25

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Solution

The third proportional to 201,406.50 and 443,306.25 is: 975,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,406.50 : 443,306.25 = 443,306.25 : x
  2. Step 2: Convert to fraction form
    201,406.50/443,306.25 = 443,306.25/x
  3. Step 3: Cross multiply
    201,406.50x = 443,306.25 × 443,306.25
  4. Step 4: Simplify right side
    201,406.50x = 196,520,431,289.06
  5. Step 5: Solve for x
    x = 196,520,431,289.06/201,406.50
  6. Step 6: Final answer
    x = 975,740.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.