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Finding the Third Proportional to 40,790 and 90,328

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Solution

The third proportional to 40,790 and 90,328 is: 200,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,790 : 90,328 = 90,328 : x
  2. Step 2: Convert to fraction form
    40,790/90,328 = 90,328/x
  3. Step 3: Cross multiply
    40,790x = 90,328 × 90,328
  4. Step 4: Simplify right side
    40,790x = 8,159,147,584
  5. Step 5: Solve for x
    x = 8,159,147,584/40,790
  6. Step 6: Final answer
    x = 200,028.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.