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Finding the Third Proportional to 320.84 and 690.71

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Solution

The third proportional to 320.84 and 690.71 is: 1,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.84 : 690.71 = 690.71 : x
  2. Step 2: Convert to fraction form
    320.84/690.71 = 690.71/x
  3. Step 3: Cross multiply
    320.84x = 690.71 × 690.71
  4. Step 4: Simplify right side
    320.84x = 477,087.00
  5. Step 5: Solve for x
    x = 477,087.00/320.84
  6. Step 6: Final answer
    x = 1,487.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.