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Finding the Third Proportional to 74,272.50 and 109,770.75

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Solution

The third proportional to 74,272.50 and 109,770.75 is: 162,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,272.50 : 109,770.75 = 109,770.75 : x
  2. Step 2: Convert to fraction form
    74,272.50/109,770.75 = 109,770.75/x
  3. Step 3: Cross multiply
    74,272.50x = 109,770.75 × 109,770.75
  4. Step 4: Simplify right side
    74,272.50x = 12,049,617,555.56
  5. Step 5: Solve for x
    x = 12,049,617,555.56/74,272.50
  6. Step 6: Final answer
    x = 162,235.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.