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Finding the Third Proportional to 1,987.03 and 2,919.94

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Solution

The third proportional to 1,987.03 and 2,919.94 is: 4,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.03 : 2,919.94 = 2,919.94 : x
  2. Step 2: Convert to fraction form
    1,987.03/2,919.94 = 2,919.94/x
  3. Step 3: Cross multiply
    1,987.03x = 2,919.94 × 2,919.94
  4. Step 4: Simplify right side
    1,987.03x = 8,526,035.00
  5. Step 5: Solve for x
    x = 8,526,035.00/1,987.03
  6. Step 6: Final answer
    x = 4,290.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.