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Finding the Third Proportional to 63,476 and 137,568

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Solution

The third proportional to 63,476 and 137,568 is: 298,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,476 : 137,568 = 137,568 : x
  2. Step 2: Convert to fraction form
    63,476/137,568 = 137,568/x
  3. Step 3: Cross multiply
    63,476x = 137,568 × 137,568
  4. Step 4: Simplify right side
    63,476x = 18,924,954,624
  5. Step 5: Solve for x
    x = 18,924,954,624/63,476
  6. Step 6: Final answer
    x = 298,143.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.