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Finding the Third Proportional to 10,104.19 and 21,484.13

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Solution

The third proportional to 10,104.19 and 21,484.13 is: 45,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.19 : 21,484.13 = 21,484.13 : x
  2. Step 2: Convert to fraction form
    10,104.19/21,484.13 = 21,484.13/x
  3. Step 3: Cross multiply
    10,104.19x = 21,484.13 × 21,484.13
  4. Step 4: Simplify right side
    10,104.19x = 461,567,627.02
  5. Step 5: Solve for x
    x = 461,567,627.02/10,104.19
  6. Step 6: Final answer
    x = 45,680.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.