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Finding the Third Proportional to 21,105.56 and 29,681.44

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Solution

The third proportional to 21,105.56 and 29,681.44 is: 41,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.56 : 29,681.44 = 29,681.44 : x
  2. Step 2: Convert to fraction form
    21,105.56/29,681.44 = 29,681.44/x
  3. Step 3: Cross multiply
    21,105.56x = 29,681.44 × 29,681.44
  4. Step 4: Simplify right side
    21,105.56x = 880,987,732.07
  5. Step 5: Solve for x
    x = 880,987,732.07/21,105.56
  6. Step 6: Final answer
    x = 41,741.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.