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Finding the Third Proportional to 478.41 and 767.60

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Solution

The third proportional to 478.41 and 767.60 is: 1,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.41 : 767.60 = 767.60 : x
  2. Step 2: Convert to fraction form
    478.41/767.60 = 767.60/x
  3. Step 3: Cross multiply
    478.41x = 767.60 × 767.60
  4. Step 4: Simplify right side
    478.41x = 589,212.16
  5. Step 5: Solve for x
    x = 589,212.16/478.41
  6. Step 6: Final answer
    x = 1,231.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.