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Finding the Third Proportional to 77,763.75 and 120,082.50

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Solution

The third proportional to 77,763.75 and 120,082.50 is: 185,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,763.75 : 120,082.50 = 120,082.50 : x
  2. Step 2: Convert to fraction form
    77,763.75/120,082.50 = 120,082.50/x
  3. Step 3: Cross multiply
    77,763.75x = 120,082.50 × 120,082.50
  4. Step 4: Simplify right side
    77,763.75x = 14,419,806,806.25
  5. Step 5: Solve for x
    x = 14,419,806,806.25/77,763.75
  6. Step 6: Final answer
    x = 185,430.96

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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.