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Finding the Third Proportional to 45,135.75 and 69,852

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Solution

The third proportional to 45,135.75 and 69,852 is: 108,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,135.75 : 69,852 = 69,852 : x
  2. Step 2: Convert to fraction form
    45,135.75/69,852 = 69,852/x
  3. Step 3: Cross multiply
    45,135.75x = 69,852 × 69,852
  4. Step 4: Simplify right side
    45,135.75x = 4,879,301,904
  5. Step 5: Solve for x
    x = 4,879,301,904/45,135.75
  6. Step 6: Final answer
    x = 108,102.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.