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Finding the Third Proportional to 78,450 and 119,727

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Solution

The third proportional to 78,450 and 119,727 is: 182,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,450 : 119,727 = 119,727 : x
  2. Step 2: Convert to fraction form
    78,450/119,727 = 119,727/x
  3. Step 3: Cross multiply
    78,450x = 119,727 × 119,727
  4. Step 4: Simplify right side
    78,450x = 14,334,554,529
  5. Step 5: Solve for x
    x = 14,334,554,529/78,450
  6. Step 6: Final answer
    x = 182,722.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.