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Finding the Third Proportional to 78,937 and 120,755

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Solution

The third proportional to 78,937 and 120,755 is: 184,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,937 : 120,755 = 120,755 : x
  2. Step 2: Convert to fraction form
    78,937/120,755 = 120,755/x
  3. Step 3: Cross multiply
    78,937x = 120,755 × 120,755
  4. Step 4: Simplify right side
    78,937x = 14,581,770,025
  5. Step 5: Solve for x
    x = 14,581,770,025/78,937
  6. Step 6: Final answer
    x = 184,726.68

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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.