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Finding the Third Proportional to 38,628 and 84,648

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Solution

The third proportional to 38,628 and 84,648 is: 185,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,628 : 84,648 = 84,648 : x
  2. Step 2: Convert to fraction form
    38,628/84,648 = 84,648/x
  3. Step 3: Cross multiply
    38,628x = 84,648 × 84,648
  4. Step 4: Simplify right side
    38,628x = 7,165,283,904
  5. Step 5: Solve for x
    x = 7,165,283,904/38,628
  6. Step 6: Final answer
    x = 185,494.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.