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Finding the Third Proportional to 48,786 and 72,765

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Solution

The third proportional to 48,786 and 72,765 is: 108,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,786 : 72,765 = 72,765 : x
  2. Step 2: Convert to fraction form
    48,786/72,765 = 72,765/x
  3. Step 3: Cross multiply
    48,786x = 72,765 × 72,765
  4. Step 4: Simplify right side
    48,786x = 5,294,745,225
  5. Step 5: Solve for x
    x = 5,294,745,225/48,786
  6. Step 6: Final answer
    x = 108,530.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.