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Finding the Third Proportional to 415.94 and 621.38

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Solution

The third proportional to 415.94 and 621.38 is: 928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.94 : 621.38 = 621.38 : x
  2. Step 2: Convert to fraction form
    415.94/621.38 = 621.38/x
  3. Step 3: Cross multiply
    415.94x = 621.38 × 621.38
  4. Step 4: Simplify right side
    415.94x = 386,106.89
  5. Step 5: Solve for x
    x = 386,106.89/415.94
  6. Step 6: Final answer
    x = 928.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.