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Finding the Third Proportional to 81,280 and 173,832

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Solution

The third proportional to 81,280 and 173,832 is: 371,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,280 : 173,832 = 173,832 : x
  2. Step 2: Convert to fraction form
    81,280/173,832 = 173,832/x
  3. Step 3: Cross multiply
    81,280x = 173,832 × 173,832
  4. Step 4: Simplify right side
    81,280x = 30,217,564,224
  5. Step 5: Solve for x
    x = 30,217,564,224/81,280
  6. Step 6: Final answer
    x = 371,771.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.