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Finding the Third Proportional to 478.27 and 673.45

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Solution

The third proportional to 478.27 and 673.45 is: 948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.27 : 673.45 = 673.45 : x
  2. Step 2: Convert to fraction form
    478.27/673.45 = 673.45/x
  3. Step 3: Cross multiply
    478.27x = 673.45 × 673.45
  4. Step 4: Simplify right side
    478.27x = 453,539.11
  5. Step 5: Solve for x
    x = 453,539.11/478.27
  6. Step 6: Final answer
    x = 948.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.