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Finding the Third Proportional to 1,932 and 3,069.75

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Solution

The third proportional to 1,932 and 3,069.75 is: 4,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932 : 3,069.75 = 3,069.75 : x
  2. Step 2: Convert to fraction form
    1,932/3,069.75 = 3,069.75/x
  3. Step 3: Cross multiply
    1,932x = 3,069.75 × 3,069.75
  4. Step 4: Simplify right side
    1,932x = 9,423,365.06
  5. Step 5: Solve for x
    x = 9,423,365.06/1,932
  6. Step 6: Final answer
    x = 4,877.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.