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Finding the Third Proportional to 469 and 682.19

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Solution

The third proportional to 469 and 682.19 is: 992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469 : 682.19 = 682.19 : x
  2. Step 2: Convert to fraction form
    469/682.19 = 682.19/x
  3. Step 3: Cross multiply
    469x = 682.19 × 682.19
  4. Step 4: Simplify right side
    469x = 465,379.79
  5. Step 5: Solve for x
    x = 465,379.79/469
  6. Step 6: Final answer
    x = 992.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.