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Finding the Third Proportional to 468.49 and 864.21

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Solution

The third proportional to 468.49 and 864.21 is: 1,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.49 : 864.21 = 864.21 : x
  2. Step 2: Convert to fraction form
    468.49/864.21 = 864.21/x
  3. Step 3: Cross multiply
    468.49x = 864.21 × 864.21
  4. Step 4: Simplify right side
    468.49x = 746,860.54
  5. Step 5: Solve for x
    x = 746,860.54/468.49
  6. Step 6: Final answer
    x = 1,594.18

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.