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Finding the Third Proportional to 202,613 and 440,902.50

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Solution

The third proportional to 202,613 and 440,902.50 is: 959,439.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,613 : 440,902.50 = 440,902.50 : x
  2. Step 2: Convert to fraction form
    202,613/440,902.50 = 440,902.50/x
  3. Step 3: Cross multiply
    202,613x = 440,902.50 × 440,902.50
  4. Step 4: Simplify right side
    202,613x = 194,395,014,506.25
  5. Step 5: Solve for x
    x = 194,395,014,506.25/202,613
  6. Step 6: Final answer
    x = 959,439.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.