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Finding the Third Proportional to 1,921.85 and 4,220.23

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Solution

The third proportional to 1,921.85 and 4,220.23 is: 9,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.85 : 4,220.23 = 4,220.23 : x
  2. Step 2: Convert to fraction form
    1,921.85/4,220.23 = 4,220.23/x
  3. Step 3: Cross multiply
    1,921.85x = 4,220.23 × 4,220.23
  4. Step 4: Simplify right side
    1,921.85x = 17,810,312.24
  5. Step 5: Solve for x
    x = 17,810,312.24/1,921.85
  6. Step 6: Final answer
    x = 9,267.27

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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.