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Finding the Third Proportional to 50,481 and 74,425.50

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Solution

The third proportional to 50,481 and 74,425.50 is: 109,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,481 : 74,425.50 = 74,425.50 : x
  2. Step 2: Convert to fraction form
    50,481/74,425.50 = 74,425.50/x
  3. Step 3: Cross multiply
    50,481x = 74,425.50 × 74,425.50
  4. Step 4: Simplify right side
    50,481x = 5,539,155,050.25
  5. Step 5: Solve for x
    x = 5,539,155,050.25/50,481
  6. Step 6: Final answer
    x = 109,727.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.