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Finding the Third Proportional to 336.56 and 688.03

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Solution

The third proportional to 336.56 and 688.03 is: 1,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.56 : 688.03 = 688.03 : x
  2. Step 2: Convert to fraction form
    336.56/688.03 = 688.03/x
  3. Step 3: Cross multiply
    336.56x = 688.03 × 688.03
  4. Step 4: Simplify right side
    336.56x = 473,387.00
  5. Step 5: Solve for x
    x = 473,387.00/336.56
  6. Step 6: Final answer
    x = 1,406.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.