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Finding the Third Proportional to 128,339.50 and 309,184.50

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Solution

The third proportional to 128,339.50 and 309,184.50 is: 744,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,339.50 : 309,184.50 = 309,184.50 : x
  2. Step 2: Convert to fraction form
    128,339.50/309,184.50 = 309,184.50/x
  3. Step 3: Cross multiply
    128,339.50x = 309,184.50 × 309,184.50
  4. Step 4: Simplify right side
    128,339.50x = 95,595,055,040.25
  5. Step 5: Solve for x
    x = 95,595,055,040.25/128,339.50
  6. Step 6: Final answer
    x = 744,860.74

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.