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Finding the Third Proportional to 21,176.44 and 29,036.81

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Solution

The third proportional to 21,176.44 and 29,036.81 is: 39,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.44 : 29,036.81 = 29,036.81 : x
  2. Step 2: Convert to fraction form
    21,176.44/29,036.81 = 29,036.81/x
  3. Step 3: Cross multiply
    21,176.44x = 29,036.81 × 29,036.81
  4. Step 4: Simplify right side
    21,176.44x = 843,136,480.16
  5. Step 5: Solve for x
    x = 843,136,480.16/21,176.44
  6. Step 6: Final answer
    x = 39,814.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.