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Finding the Third Proportional to 171,808 and 262,815

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Solution

The third proportional to 171,808 and 262,815 is: 402,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,808 : 262,815 = 262,815 : x
  2. Step 2: Convert to fraction form
    171,808/262,815 = 262,815/x
  3. Step 3: Cross multiply
    171,808x = 262,815 × 262,815
  4. Step 4: Simplify right side
    171,808x = 69,071,724,225
  5. Step 5: Solve for x
    x = 69,071,724,225/171,808
  6. Step 6: Final answer
    x = 402,028.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.