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Finding the Third Proportional to 213.47 and 469.55

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Solution

The third proportional to 213.47 and 469.55 is: 1,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 469.55 = 469.55 : x
  2. Step 2: Convert to fraction form
    213.47/469.55 = 469.55/x
  3. Step 3: Cross multiply
    213.47x = 469.55 × 469.55
  4. Step 4: Simplify right side
    213.47x = 220,474.27
  5. Step 5: Solve for x
    x = 220,474.27/213.47
  6. Step 6: Final answer
    x = 1,032.82

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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.