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Finding the Third Proportional to 77,664 and 112,728

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Solution

The third proportional to 77,664 and 112,728 is: 163,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,664 : 112,728 = 112,728 : x
  2. Step 2: Convert to fraction form
    77,664/112,728 = 112,728/x
  3. Step 3: Cross multiply
    77,664x = 112,728 × 112,728
  4. Step 4: Simplify right side
    77,664x = 12,707,601,984
  5. Step 5: Solve for x
    x = 12,707,601,984/77,664
  6. Step 6: Final answer
    x = 163,622.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.