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Finding the Third Proportional to 473.63 and 728.44

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Solution

The third proportional to 473.63 and 728.44 is: 1,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.63 : 728.44 = 728.44 : x
  2. Step 2: Convert to fraction form
    473.63/728.44 = 728.44/x
  3. Step 3: Cross multiply
    473.63x = 728.44 × 728.44
  4. Step 4: Simplify right side
    473.63x = 530,621.19
  5. Step 5: Solve for x
    x = 530,621.19/473.63
  6. Step 6: Final answer
    x = 1,120.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.