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Finding the Third Proportional to 90,742.50 and 144,137.25

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Solution

The third proportional to 90,742.50 and 144,137.25 is: 228,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,742.50 : 144,137.25 = 144,137.25 : x
  2. Step 2: Convert to fraction form
    90,742.50/144,137.25 = 144,137.25/x
  3. Step 3: Cross multiply
    90,742.50x = 144,137.25 × 144,137.25
  4. Step 4: Simplify right side
    90,742.50x = 20,775,546,837.56
  5. Step 5: Solve for x
    x = 20,775,546,837.56/90,742.50
  6. Step 6: Final answer
    x = 228,950.57

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Why These Related Problems?

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