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Finding the Third Proportional to 424.83 and 621.21

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Solution

The third proportional to 424.83 and 621.21 is: 908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.83 : 621.21 = 621.21 : x
  2. Step 2: Convert to fraction form
    424.83/621.21 = 621.21/x
  3. Step 3: Cross multiply
    424.83x = 621.21 × 621.21
  4. Step 4: Simplify right side
    424.83x = 385,903.03
  5. Step 5: Solve for x
    x = 385,903.03/424.83
  6. Step 6: Final answer
    x = 908.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.