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Finding the Third Proportional to 10,128 and 18,768

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Solution

The third proportional to 10,128 and 18,768 is: 34,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128 : 18,768 = 18,768 : x
  2. Step 2: Convert to fraction form
    10,128/18,768 = 18,768/x
  3. Step 3: Cross multiply
    10,128x = 18,768 × 18,768
  4. Step 4: Simplify right side
    10,128x = 352,237,824
  5. Step 5: Solve for x
    x = 352,237,824/10,128
  6. Step 6: Final answer
    x = 34,778.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.