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Finding the Third Proportional to 36,420 and 48,945

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Solution

The third proportional to 36,420 and 48,945 is: 65,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420 : 48,945 = 48,945 : x
  2. Step 2: Convert to fraction form
    36,420/48,945 = 48,945/x
  3. Step 3: Cross multiply
    36,420x = 48,945 × 48,945
  4. Step 4: Simplify right side
    36,420x = 2,395,613,025
  5. Step 5: Solve for x
    x = 2,395,613,025/36,420
  6. Step 6: Final answer
    x = 65,777.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.