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Finding the Third Proportional to 161,450 and 251,985

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Solution

The third proportional to 161,450 and 251,985 is: 393,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,450 : 251,985 = 251,985 : x
  2. Step 2: Convert to fraction form
    161,450/251,985 = 251,985/x
  3. Step 3: Cross multiply
    161,450x = 251,985 × 251,985
  4. Step 4: Simplify right side
    161,450x = 63,496,440,225
  5. Step 5: Solve for x
    x = 63,496,440,225/161,450
  6. Step 6: Final answer
    x = 393,288.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.