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Finding the Third Proportional to 986.88 and 2,153.75

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Solution

The third proportional to 986.88 and 2,153.75 is: 4,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.88 : 2,153.75 = 2,153.75 : x
  2. Step 2: Convert to fraction form
    986.88/2,153.75 = 2,153.75/x
  3. Step 3: Cross multiply
    986.88x = 2,153.75 × 2,153.75
  4. Step 4: Simplify right side
    986.88x = 4,638,639.06
  5. Step 5: Solve for x
    x = 4,638,639.06/986.88
  6. Step 6: Final answer
    x = 4,700.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.