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Finding the Third Proportional to 62,400 and 84,064

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Solution

The third proportional to 62,400 and 84,064 is: 113,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,400 : 84,064 = 84,064 : x
  2. Step 2: Convert to fraction form
    62,400/84,064 = 84,064/x
  3. Step 3: Cross multiply
    62,400x = 84,064 × 84,064
  4. Step 4: Simplify right side
    62,400x = 7,066,756,096
  5. Step 5: Solve for x
    x = 7,066,756,096/62,400
  6. Step 6: Final answer
    x = 113,249.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.