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Finding the Third Proportional to 86,032 and 183,732

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Solution

The third proportional to 86,032 and 183,732 is: 392,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,032 : 183,732 = 183,732 : x
  2. Step 2: Convert to fraction form
    86,032/183,732 = 183,732/x
  3. Step 3: Cross multiply
    86,032x = 183,732 × 183,732
  4. Step 4: Simplify right side
    86,032x = 33,757,447,824
  5. Step 5: Solve for x
    x = 33,757,447,824/86,032
  6. Step 6: Final answer
    x = 392,382.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.