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Finding the Third Proportional to 336.02 and 788.80

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Solution

The third proportional to 336.02 and 788.80 is: 1,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.02 : 788.80 = 788.80 : x
  2. Step 2: Convert to fraction form
    336.02/788.80 = 788.80/x
  3. Step 3: Cross multiply
    336.02x = 788.80 × 788.80
  4. Step 4: Simplify right side
    336.02x = 622,206.67
  5. Step 5: Solve for x
    x = 622,206.67/336.02
  6. Step 6: Final answer
    x = 1,851.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.