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Finding the Third Proportional to 78,201 and 120,559.50

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Solution

The third proportional to 78,201 and 120,559.50 is: 185,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201 : 120,559.50 = 120,559.50 : x
  2. Step 2: Convert to fraction form
    78,201/120,559.50 = 120,559.50/x
  3. Step 3: Cross multiply
    78,201x = 120,559.50 × 120,559.50
  4. Step 4: Simplify right side
    78,201x = 14,534,593,040.25
  5. Step 5: Solve for x
    x = 14,534,593,040.25/78,201
  6. Step 6: Final answer
    x = 185,861.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.