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Finding the Third Proportional to 321.91 and 703.16

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Solution

The third proportional to 321.91 and 703.16 is: 1,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.91 : 703.16 = 703.16 : x
  2. Step 2: Convert to fraction form
    321.91/703.16 = 703.16/x
  3. Step 3: Cross multiply
    321.91x = 703.16 × 703.16
  4. Step 4: Simplify right side
    321.91x = 494,428.71
  5. Step 5: Solve for x
    x = 494,428.71/321.91
  6. Step 6: Final answer
    x = 1,535.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.