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Finding the Third Proportional to 4,884.75 and 9,525.38

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Solution

The third proportional to 4,884.75 and 9,525.38 is: 18,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.75 : 9,525.38 = 9,525.38 : x
  2. Step 2: Convert to fraction form
    4,884.75/9,525.38 = 9,525.38/x
  3. Step 3: Cross multiply
    4,884.75x = 9,525.38 × 9,525.38
  4. Step 4: Simplify right side
    4,884.75x = 90,732,768.89
  5. Step 5: Solve for x
    x = 90,732,768.89/4,884.75
  6. Step 6: Final answer
    x = 18,574.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.