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Finding the Third Proportional to 81,406 and 173,565

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Solution

The third proportional to 81,406 and 173,565 is: 370,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406 : 173,565 = 173,565 : x
  2. Step 2: Convert to fraction form
    81,406/173,565 = 173,565/x
  3. Step 3: Cross multiply
    81,406x = 173,565 × 173,565
  4. Step 4: Simplify right side
    81,406x = 30,124,809,225
  5. Step 5: Solve for x
    x = 30,124,809,225/81,406
  6. Step 6: Final answer
    x = 370,056.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.