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Finding the Third Proportional to 330.56 and 486.19

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Solution

The third proportional to 330.56 and 486.19 is: 715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.56 : 486.19 = 486.19 : x
  2. Step 2: Convert to fraction form
    330.56/486.19 = 486.19/x
  3. Step 3: Cross multiply
    330.56x = 486.19 × 486.19
  4. Step 4: Simplify right side
    330.56x = 236,378.29
  5. Step 5: Solve for x
    x = 236,378.29/330.56
  6. Step 6: Final answer
    x = 715.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.