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Finding the Third Proportional to 9,983.25 and 23,739.75

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Solution

The third proportional to 9,983.25 and 23,739.75 is: 56,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.25 : 23,739.75 = 23,739.75 : x
  2. Step 2: Convert to fraction form
    9,983.25/23,739.75 = 23,739.75/x
  3. Step 3: Cross multiply
    9,983.25x = 23,739.75 × 23,739.75
  4. Step 4: Simplify right side
    9,983.25x = 563,575,730.06
  5. Step 5: Solve for x
    x = 563,575,730.06/9,983.25
  6. Step 6: Final answer
    x = 56,452.13

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.