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Finding the Third Proportional to 1,987.03 and 3,124.83

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Solution

The third proportional to 1,987.03 and 3,124.83 is: 4,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.03 : 3,124.83 = 3,124.83 : x
  2. Step 2: Convert to fraction form
    1,987.03/3,124.83 = 3,124.83/x
  3. Step 3: Cross multiply
    1,987.03x = 3,124.83 × 3,124.83
  4. Step 4: Simplify right side
    1,987.03x = 9,764,550.81
  5. Step 5: Solve for x
    x = 9,764,550.81/1,987.03
  6. Step 6: Final answer
    x = 4,914.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.