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Finding the Third Proportional to 321 and 685.88

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Solution

The third proportional to 321 and 685.88 is: 1,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 685.88 = 685.88 : x
  2. Step 2: Convert to fraction form
    321/685.88 = 685.88/x
  3. Step 3: Cross multiply
    321x = 685.88 × 685.88
  4. Step 4: Simplify right side
    321x = 470,424.52
  5. Step 5: Solve for x
    x = 470,424.52/321
  6. Step 6: Final answer
    x = 1,465.50

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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.