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Finding the Third Proportional to 48,132 and 101,736

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Solution

The third proportional to 48,132 and 101,736 is: 215,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,132 : 101,736 = 101,736 : x
  2. Step 2: Convert to fraction form
    48,132/101,736 = 101,736/x
  3. Step 3: Cross multiply
    48,132x = 101,736 × 101,736
  4. Step 4: Simplify right side
    48,132x = 10,350,213,696
  5. Step 5: Solve for x
    x = 10,350,213,696/48,132
  6. Step 6: Final answer
    x = 215,038.10

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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.