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Finding the Third Proportional to 330.63 and 724.25

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Solution

The third proportional to 330.63 and 724.25 is: 1,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.63 : 724.25 = 724.25 : x
  2. Step 2: Convert to fraction form
    330.63/724.25 = 724.25/x
  3. Step 3: Cross multiply
    330.63x = 724.25 × 724.25
  4. Step 4: Simplify right side
    330.63x = 524,538.06
  5. Step 5: Solve for x
    x = 524,538.06/330.63
  6. Step 6: Final answer
    x = 1,586.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.