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Finding the Third Proportional to 322.45 and 690.47

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Solution

The third proportional to 322.45 and 690.47 is: 1,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 690.47 = 690.47 : x
  2. Step 2: Convert to fraction form
    322.45/690.47 = 690.47/x
  3. Step 3: Cross multiply
    322.45x = 690.47 × 690.47
  4. Step 4: Simplify right side
    322.45x = 476,747.09
  5. Step 5: Solve for x
    x = 476,747.09/322.45
  6. Step 6: Final answer
    x = 1,478.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.