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Finding the Third Proportional to 478.41 and 701.16

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Solution

The third proportional to 478.41 and 701.16 is: 1,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.41 : 701.16 = 701.16 : x
  2. Step 2: Convert to fraction form
    478.41/701.16 = 701.16/x
  3. Step 3: Cross multiply
    478.41x = 701.16 × 701.16
  4. Step 4: Simplify right side
    478.41x = 491,620.09
  5. Step 5: Solve for x
    x = 491,620.09/478.41
  6. Step 6: Final answer
    x = 1,027.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.