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Finding the Third Proportional to 328.92 and 690.05

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Solution

The third proportional to 328.92 and 690.05 is: 1,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 690.05 = 690.05 : x
  2. Step 2: Convert to fraction form
    328.92/690.05 = 690.05/x
  3. Step 3: Cross multiply
    328.92x = 690.05 × 690.05
  4. Step 4: Simplify right side
    328.92x = 476,164.69
  5. Step 5: Solve for x
    x = 476,164.69/328.92
  6. Step 6: Final answer
    x = 1,447.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.