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Finding the Third Proportional to 216.69 and 469.44

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Solution

The third proportional to 216.69 and 469.44 is: 1,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.69 : 469.44 = 469.44 : x
  2. Step 2: Convert to fraction form
    216.69/469.44 = 469.44/x
  3. Step 3: Cross multiply
    216.69x = 469.44 × 469.44
  4. Step 4: Simplify right side
    216.69x = 220,371.57
  5. Step 5: Solve for x
    x = 220,371.57/216.69
  6. Step 6: Final answer
    x = 1,017.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.