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Finding the Third Proportional to 302.81 and 729.19

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Solution

The third proportional to 302.81 and 729.19 is: 1,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.81 : 729.19 = 729.19 : x
  2. Step 2: Convert to fraction form
    302.81/729.19 = 729.19/x
  3. Step 3: Cross multiply
    302.81x = 729.19 × 729.19
  4. Step 4: Simplify right side
    302.81x = 531,714.41
  5. Step 5: Solve for x
    x = 531,714.41/302.81
  6. Step 6: Final answer
    x = 1,755.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.