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Finding the Third Proportional to 330.66 and 716.53

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Solution

The third proportional to 330.66 and 716.53 is: 1,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.66 : 716.53 = 716.53 : x
  2. Step 2: Convert to fraction form
    330.66/716.53 = 716.53/x
  3. Step 3: Cross multiply
    330.66x = 716.53 × 716.53
  4. Step 4: Simplify right side
    330.66x = 513,417.03
  5. Step 5: Solve for x
    x = 513,417.03/330.66
  6. Step 6: Final answer
    x = 1,552.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.