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Finding the Third Proportional to 49,710 and 102,768

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Solution

The third proportional to 49,710 and 102,768 is: 212,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,710 : 102,768 = 102,768 : x
  2. Step 2: Convert to fraction form
    49,710/102,768 = 102,768/x
  3. Step 3: Cross multiply
    49,710x = 102,768 × 102,768
  4. Step 4: Simplify right side
    49,710x = 10,561,261,824
  5. Step 5: Solve for x
    x = 10,561,261,824/49,710
  6. Step 6: Final answer
    x = 212,457.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.