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Finding the Third Proportional to 63,405 and 136,621

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Solution

The third proportional to 63,405 and 136,621 is: 294,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,405 : 136,621 = 136,621 : x
  2. Step 2: Convert to fraction form
    63,405/136,621 = 136,621/x
  3. Step 3: Cross multiply
    63,405x = 136,621 × 136,621
  4. Step 4: Simplify right side
    63,405x = 18,665,297,641
  5. Step 5: Solve for x
    x = 18,665,297,641/63,405
  6. Step 6: Final answer
    x = 294,382.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.