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Finding the Third Proportional to 21,051.75 and 29,997.75

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Solution

The third proportional to 21,051.75 and 29,997.75 is: 42,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.75 : 29,997.75 = 29,997.75 : x
  2. Step 2: Convert to fraction form
    21,051.75/29,997.75 = 29,997.75/x
  3. Step 3: Cross multiply
    21,051.75x = 29,997.75 × 29,997.75
  4. Step 4: Simplify right side
    21,051.75x = 899,865,005.06
  5. Step 5: Solve for x
    x = 899,865,005.06/21,051.75
  6. Step 6: Final answer
    x = 42,745.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.