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Finding the Third Proportional to 49,200.33 and 78,325.73

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Solution

The third proportional to 49,200.33 and 78,325.73 is: 124,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200.33 : 78,325.73 = 78,325.73 : x
  2. Step 2: Convert to fraction form
    49,200.33/78,325.73 = 78,325.73/x
  3. Step 3: Cross multiply
    49,200.33x = 78,325.73 × 78,325.73
  4. Step 4: Simplify right side
    49,200.33x = 6,134,920,665.38
  5. Step 5: Solve for x
    x = 6,134,920,665.38/49,200.33
  6. Step 6: Final answer
    x = 124,692.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.