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Finding the Third Proportional to 324.16 and 428.10

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Solution

The third proportional to 324.16 and 428.10 is: 565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 428.10 = 428.10 : x
  2. Step 2: Convert to fraction form
    324.16/428.10 = 428.10/x
  3. Step 3: Cross multiply
    324.16x = 428.10 × 428.10
  4. Step 4: Simplify right side
    324.16x = 183,267.60
  5. Step 5: Solve for x
    x = 183,267.60/324.16
  6. Step 6: Final answer
    x = 565.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.