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Finding the Third Proportional to 1,980 and 3,079.50

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Solution

The third proportional to 1,980 and 3,079.50 is: 4,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 3,079.50 = 3,079.50 : x
  2. Step 2: Convert to fraction form
    1,980/3,079.50 = 3,079.50/x
  3. Step 3: Cross multiply
    1,980x = 3,079.50 × 3,079.50
  4. Step 4: Simplify right side
    1,980x = 9,483,320.25
  5. Step 5: Solve for x
    x = 9,483,320.25/1,980
  6. Step 6: Final answer
    x = 4,789.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.