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Finding the Third Proportional to 330.64 and 783.26

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Solution

The third proportional to 330.64 and 783.26 is: 1,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.64 : 783.26 = 783.26 : x
  2. Step 2: Convert to fraction form
    330.64/783.26 = 783.26/x
  3. Step 3: Cross multiply
    330.64x = 783.26 × 783.26
  4. Step 4: Simplify right side
    330.64x = 613,501.98
  5. Step 5: Solve for x
    x = 613,501.98/330.64
  6. Step 6: Final answer
    x = 1,855.47

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.