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Finding the Third Proportional to 82,032 and 117,303

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Solution

The third proportional to 82,032 and 117,303 is: 167,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032 : 117,303 = 117,303 : x
  2. Step 2: Convert to fraction form
    82,032/117,303 = 117,303/x
  3. Step 3: Cross multiply
    82,032x = 117,303 × 117,303
  4. Step 4: Simplify right side
    82,032x = 13,759,993,809
  5. Step 5: Solve for x
    x = 13,759,993,809/82,032
  6. Step 6: Final answer
    x = 167,739.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.