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Finding the Third Proportional to 108,288 and 169,728

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Solution

The third proportional to 108,288 and 169,728 is: 266,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,288 : 169,728 = 169,728 : x
  2. Step 2: Convert to fraction form
    108,288/169,728 = 169,728/x
  3. Step 3: Cross multiply
    108,288x = 169,728 × 169,728
  4. Step 4: Simplify right side
    108,288x = 28,807,593,984
  5. Step 5: Solve for x
    x = 28,807,593,984/108,288
  6. Step 6: Final answer
    x = 266,027.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.