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Finding the Third Proportional to 39,321 and 84,903

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Solution

The third proportional to 39,321 and 84,903 is: 183,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,321 : 84,903 = 84,903 : x
  2. Step 2: Convert to fraction form
    39,321/84,903 = 84,903/x
  3. Step 3: Cross multiply
    39,321x = 84,903 × 84,903
  4. Step 4: Simplify right side
    39,321x = 7,208,519,409
  5. Step 5: Solve for x
    x = 7,208,519,409/39,321
  6. Step 6: Final answer
    x = 183,324.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.