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Finding the Third Proportional to 143,996 and 202,688

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Solution

The third proportional to 143,996 and 202,688 is: 285,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,996 : 202,688 = 202,688 : x
  2. Step 2: Convert to fraction form
    143,996/202,688 = 202,688/x
  3. Step 3: Cross multiply
    143,996x = 202,688 × 202,688
  4. Step 4: Simplify right side
    143,996x = 41,082,425,344
  5. Step 5: Solve for x
    x = 41,082,425,344/143,996
  6. Step 6: Final answer
    x = 285,302.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.