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Finding the Third Proportional to 64,720 and 132,576

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Solution

The third proportional to 64,720 and 132,576 is: 271,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,720 : 132,576 = 132,576 : x
  2. Step 2: Convert to fraction form
    64,720/132,576 = 132,576/x
  3. Step 3: Cross multiply
    64,720x = 132,576 × 132,576
  4. Step 4: Simplify right side
    64,720x = 17,576,395,776
  5. Step 5: Solve for x
    x = 17,576,395,776/64,720
  6. Step 6: Final answer
    x = 271,575.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.