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Finding the Third Proportional to 78,800.34 and 120,558.38

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Solution

The third proportional to 78,800.34 and 120,558.38 is: 184,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,800.34 : 120,558.38 = 120,558.38 : x
  2. Step 2: Convert to fraction form
    78,800.34/120,558.38 = 120,558.38/x
  3. Step 3: Cross multiply
    78,800.34x = 120,558.38 × 120,558.38
  4. Step 4: Simplify right side
    78,800.34x = 14,534,321,782.64
  5. Step 5: Solve for x
    x = 14,534,321,782.64/78,800.34
  6. Step 6: Final answer
    x = 184,444.90

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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.