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Finding the Third Proportional to 330.08 and 700.69

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Solution

The third proportional to 330.08 and 700.69 is: 1,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.08 : 700.69 = 700.69 : x
  2. Step 2: Convert to fraction form
    330.08/700.69 = 700.69/x
  3. Step 3: Cross multiply
    330.08x = 700.69 × 700.69
  4. Step 4: Simplify right side
    330.08x = 490,962.97
  5. Step 5: Solve for x
    x = 490,962.97/330.08
  6. Step 6: Final answer
    x = 1,487.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.