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Finding the Third Proportional to 38,628 and 81,407.25

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Solution

The third proportional to 38,628 and 81,407.25 is: 171,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,628 : 81,407.25 = 81,407.25 : x
  2. Step 2: Convert to fraction form
    38,628/81,407.25 = 81,407.25/x
  3. Step 3: Cross multiply
    38,628x = 81,407.25 × 81,407.25
  4. Step 4: Simplify right side
    38,628x = 6,627,140,352.56
  5. Step 5: Solve for x
    x = 6,627,140,352.56/38,628
  6. Step 6: Final answer
    x = 171,563.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.