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Finding the Third Proportional to 78,108 and 119,760

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Solution

The third proportional to 78,108 and 119,760 is: 183,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,108 : 119,760 = 119,760 : x
  2. Step 2: Convert to fraction form
    78,108/119,760 = 119,760/x
  3. Step 3: Cross multiply
    78,108x = 119,760 × 119,760
  4. Step 4: Simplify right side
    78,108x = 14,342,457,600
  5. Step 5: Solve for x
    x = 14,342,457,600/78,108
  6. Step 6: Final answer
    x = 183,623.41

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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.