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Finding the Third Proportional to 85,905 and 174,226

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Solution

The third proportional to 85,905 and 174,226 is: 353,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,905 : 174,226 = 174,226 : x
  2. Step 2: Convert to fraction form
    85,905/174,226 = 174,226/x
  3. Step 3: Cross multiply
    85,905x = 174,226 × 174,226
  4. Step 4: Simplify right side
    85,905x = 30,354,699,076
  5. Step 5: Solve for x
    x = 30,354,699,076/85,905
  6. Step 6: Final answer
    x = 353,351.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.