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Finding the Third Proportional to 64,274 and 133,476

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Solution

The third proportional to 64,274 and 133,476 is: 277,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,274 : 133,476 = 133,476 : x
  2. Step 2: Convert to fraction form
    64,274/133,476 = 133,476/x
  3. Step 3: Cross multiply
    64,274x = 133,476 × 133,476
  4. Step 4: Simplify right side
    64,274x = 17,815,842,576
  5. Step 5: Solve for x
    x = 17,815,842,576/64,274
  6. Step 6: Final answer
    x = 277,185.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.