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Finding the Third Proportional to 64,855 and 132,912

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Solution

The third proportional to 64,855 and 132,912 is: 272,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,855 : 132,912 = 132,912 : x
  2. Step 2: Convert to fraction form
    64,855/132,912 = 132,912/x
  3. Step 3: Cross multiply
    64,855x = 132,912 × 132,912
  4. Step 4: Simplify right side
    64,855x = 17,665,599,744
  5. Step 5: Solve for x
    x = 17,665,599,744/64,855
  6. Step 6: Final answer
    x = 272,386.09

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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.