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Finding the Third Proportional to 4,213.13 and 9,169.31

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Solution

The third proportional to 4,213.13 and 9,169.31 is: 19,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.13 : 9,169.31 = 9,169.31 : x
  2. Step 2: Convert to fraction form
    4,213.13/9,169.31 = 9,169.31/x
  3. Step 3: Cross multiply
    4,213.13x = 9,169.31 × 9,169.31
  4. Step 4: Simplify right side
    4,213.13x = 84,076,291.72
  5. Step 5: Solve for x
    x = 84,076,291.72/4,213.13
  6. Step 6: Final answer
    x = 19,955.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.