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Finding the Third Proportional to 216.42 and 472.71

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Solution

The third proportional to 216.42 and 472.71 is: 1,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 472.71 = 472.71 : x
  2. Step 2: Convert to fraction form
    216.42/472.71 = 472.71/x
  3. Step 3: Cross multiply
    216.42x = 472.71 × 472.71
  4. Step 4: Simplify right side
    216.42x = 223,455.63
  5. Step 5: Solve for x
    x = 223,455.63/216.42
  6. Step 6: Final answer
    x = 1,032.50

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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.