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Finding the Third Proportional to 64,576 and 136,064

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Solution

The third proportional to 64,576 and 136,064 is: 286,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,576 : 136,064 = 136,064 : x
  2. Step 2: Convert to fraction form
    64,576/136,064 = 136,064/x
  3. Step 3: Cross multiply
    64,576x = 136,064 × 136,064
  4. Step 4: Simplify right side
    64,576x = 18,513,412,096
  5. Step 5: Solve for x
    x = 18,513,412,096/64,576
  6. Step 6: Final answer
    x = 286,691.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.