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Finding the Third Proportional to 485.30 and 742.36

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Solution

The third proportional to 485.30 and 742.36 is: 1,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.30 : 742.36 = 742.36 : x
  2. Step 2: Convert to fraction form
    485.30/742.36 = 742.36/x
  3. Step 3: Cross multiply
    485.30x = 742.36 × 742.36
  4. Step 4: Simplify right side
    485.30x = 551,097.44
  5. Step 5: Solve for x
    x = 551,097.44/485.30
  6. Step 6: Final answer
    x = 1,135.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.