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Finding the Third Proportional to 64,576 and 133,280

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Solution

The third proportional to 64,576 and 133,280 is: 275,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,576 : 133,280 = 133,280 : x
  2. Step 2: Convert to fraction form
    64,576/133,280 = 133,280/x
  3. Step 3: Cross multiply
    64,576x = 133,280 × 133,280
  4. Step 4: Simplify right side
    64,576x = 17,763,558,400
  5. Step 5: Solve for x
    x = 17,763,558,400/64,576
  6. Step 6: Final answer
    x = 275,079.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.