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Finding the Third Proportional to 49,728 and 77,616

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Solution

The third proportional to 49,728 and 77,616 is: 121,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,728 : 77,616 = 77,616 : x
  2. Step 2: Convert to fraction form
    49,728/77,616 = 77,616/x
  3. Step 3: Cross multiply
    49,728x = 77,616 × 77,616
  4. Step 4: Simplify right side
    49,728x = 6,024,243,456
  5. Step 5: Solve for x
    x = 6,024,243,456/49,728
  6. Step 6: Final answer
    x = 121,143.89

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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.