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Finding the Third Proportional to 48,318 and 72,765

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Solution

The third proportional to 48,318 and 72,765 is: 109,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,318 : 72,765 = 72,765 : x
  2. Step 2: Convert to fraction form
    48,318/72,765 = 72,765/x
  3. Step 3: Cross multiply
    48,318x = 72,765 × 72,765
  4. Step 4: Simplify right side
    48,318x = 5,294,745,225
  5. Step 5: Solve for x
    x = 5,294,745,225/48,318
  6. Step 6: Final answer
    x = 109,581.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.