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Finding the Third Proportional to 320.91 and 693.28

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Solution

The third proportional to 320.91 and 693.28 is: 1,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.91 : 693.28 = 693.28 : x
  2. Step 2: Convert to fraction form
    320.91/693.28 = 693.28/x
  3. Step 3: Cross multiply
    320.91x = 693.28 × 693.28
  4. Step 4: Simplify right side
    320.91x = 480,638.89
  5. Step 5: Solve for x
    x = 480,638.89/320.91
  6. Step 6: Final answer
    x = 1,497.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.