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Finding the Third Proportional to 77,512 and 163,728

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Solution

The third proportional to 77,512 and 163,728 is: 345,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512 : 163,728 = 163,728 : x
  2. Step 2: Convert to fraction form
    77,512/163,728 = 163,728/x
  3. Step 3: Cross multiply
    77,512x = 163,728 × 163,728
  4. Step 4: Simplify right side
    77,512x = 26,806,857,984
  5. Step 5: Solve for x
    x = 26,806,857,984/77,512
  6. Step 6: Final answer
    x = 345,841.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.