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Finding the Third Proportional to 38,768 and 83,728

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Solution

The third proportional to 38,768 and 83,728 is: 180,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768 : 83,728 = 83,728 : x
  2. Step 2: Convert to fraction form
    38,768/83,728 = 83,728/x
  3. Step 3: Cross multiply
    38,768x = 83,728 × 83,728
  4. Step 4: Simplify right side
    38,768x = 7,010,377,984
  5. Step 5: Solve for x
    x = 7,010,377,984/38,768
  6. Step 6: Final answer
    x = 180,828.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.