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Finding the Third Proportional to 320.81 and 756.94

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Solution

The third proportional to 320.81 and 756.94 is: 1,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.81 : 756.94 = 756.94 : x
  2. Step 2: Convert to fraction form
    320.81/756.94 = 756.94/x
  3. Step 3: Cross multiply
    320.81x = 756.94 × 756.94
  4. Step 4: Simplify right side
    320.81x = 572,954.38
  5. Step 5: Solve for x
    x = 572,954.38/320.81
  6. Step 6: Final answer
    x = 1,785.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.