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Finding the Third Proportional to 8,484.75 and 18,285.75

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Solution

The third proportional to 8,484.75 and 18,285.75 is: 39,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.75 : 18,285.75 = 18,285.75 : x
  2. Step 2: Convert to fraction form
    8,484.75/18,285.75 = 18,285.75/x
  3. Step 3: Cross multiply
    8,484.75x = 18,285.75 × 18,285.75
  4. Step 4: Simplify right side
    8,484.75x = 334,368,653.06
  5. Step 5: Solve for x
    x = 334,368,653.06/8,484.75
  6. Step 6: Final answer
    x = 39,408.19

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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.