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Finding the Third Proportional to 306.94 and 651.84

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Solution

The third proportional to 306.94 and 651.84 is: 1,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.94 : 651.84 = 651.84 : x
  2. Step 2: Convert to fraction form
    306.94/651.84 = 651.84/x
  3. Step 3: Cross multiply
    306.94x = 651.84 × 651.84
  4. Step 4: Simplify right side
    306.94x = 424,900.27
  5. Step 5: Solve for x
    x = 424,900.27/306.94
  6. Step 6: Final answer
    x = 1,384.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.