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Finding the Third Proportional to 9,590 and 20,044

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Solution

The third proportional to 9,590 and 20,044 is: 41,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590 : 20,044 = 20,044 : x
  2. Step 2: Convert to fraction form
    9,590/20,044 = 20,044/x
  3. Step 3: Cross multiply
    9,590x = 20,044 × 20,044
  4. Step 4: Simplify right side
    9,590x = 401,761,936
  5. Step 5: Solve for x
    x = 401,761,936/9,590
  6. Step 6: Final answer
    x = 41,893.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.