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Finding the Third Proportional to 281.94 and 457.03

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Solution

The third proportional to 281.94 and 457.03 is: 740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 457.03 = 457.03 : x
  2. Step 2: Convert to fraction form
    281.94/457.03 = 457.03/x
  3. Step 3: Cross multiply
    281.94x = 457.03 × 457.03
  4. Step 4: Simplify right side
    281.94x = 208,877.56
  5. Step 5: Solve for x
    x = 208,877.56/281.94
  6. Step 6: Final answer
    x = 740.86

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.