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Finding the Third Proportional to 109,352.25 and 139,731.75

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Solution

The third proportional to 109,352.25 and 139,731.75 is: 178,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,352.25 : 139,731.75 = 139,731.75 : x
  2. Step 2: Convert to fraction form
    109,352.25/139,731.75 = 139,731.75/x
  3. Step 3: Cross multiply
    109,352.25x = 139,731.75 × 139,731.75
  4. Step 4: Simplify right side
    109,352.25x = 19,524,961,958.06
  5. Step 5: Solve for x
    x = 19,524,961,958.06/109,352.25
  6. Step 6: Final answer
    x = 178,551.08

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.