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Finding the Third Proportional to 415.55 and 620.58

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Solution

The third proportional to 415.55 and 620.58 is: 926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.55 : 620.58 = 620.58 : x
  2. Step 2: Convert to fraction form
    415.55/620.58 = 620.58/x
  3. Step 3: Cross multiply
    415.55x = 620.58 × 620.58
  4. Step 4: Simplify right side
    415.55x = 385,117.21
  5. Step 5: Solve for x
    x = 385,117.21/415.55
  6. Step 6: Final answer
    x = 926.77

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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.