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Finding the Third Proportional to 39,900 and 51,768

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Solution

The third proportional to 39,900 and 51,768 is: 67,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,900 : 51,768 = 51,768 : x
  2. Step 2: Convert to fraction form
    39,900/51,768 = 51,768/x
  3. Step 3: Cross multiply
    39,900x = 51,768 × 51,768
  4. Step 4: Simplify right side
    39,900x = 2,679,925,824
  5. Step 5: Solve for x
    x = 2,679,925,824/39,900
  6. Step 6: Final answer
    x = 67,166.06

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.