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Finding the Third Proportional to 986.25 and 2,170.50

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Solution

The third proportional to 986.25 and 2,170.50 is: 4,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.25 : 2,170.50 = 2,170.50 : x
  2. Step 2: Convert to fraction form
    986.25/2,170.50 = 2,170.50/x
  3. Step 3: Cross multiply
    986.25x = 2,170.50 × 2,170.50
  4. Step 4: Simplify right side
    986.25x = 4,711,070.25
  5. Step 5: Solve for x
    x = 4,711,070.25/986.25
  6. Step 6: Final answer
    x = 4,776.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.