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Finding the Third Proportional to 1,987.94 and 2,921.13

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Solution

The third proportional to 1,987.94 and 2,921.13 is: 4,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.94 : 2,921.13 = 2,921.13 : x
  2. Step 2: Convert to fraction form
    1,987.94/2,921.13 = 2,921.13/x
  3. Step 3: Cross multiply
    1,987.94x = 2,921.13 × 2,921.13
  4. Step 4: Simplify right side
    1,987.94x = 8,532,971.27
  5. Step 5: Solve for x
    x = 8,532,971.27/1,987.94
  6. Step 6: Final answer
    x = 4,292.37

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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.