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Finding the Third Proportional to 427.13 and 498.19

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Solution

The third proportional to 427.13 and 498.19 is: 581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.13 : 498.19 = 498.19 : x
  2. Step 2: Convert to fraction form
    427.13/498.19 = 498.19/x
  3. Step 3: Cross multiply
    427.13x = 498.19 × 498.19
  4. Step 4: Simplify right side
    427.13x = 248,190.79
  5. Step 5: Solve for x
    x = 248,190.79/427.13
  6. Step 6: Final answer
    x = 581.07

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.