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Finding the Third Proportional to 155,231.25 and 340,270.50

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Solution

The third proportional to 155,231.25 and 340,270.50 is: 745,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,231.25 : 340,270.50 = 340,270.50 : x
  2. Step 2: Convert to fraction form
    155,231.25/340,270.50 = 340,270.50/x
  3. Step 3: Cross multiply
    155,231.25x = 340,270.50 × 340,270.50
  4. Step 4: Simplify right side
    155,231.25x = 115,784,013,170.25
  5. Step 5: Solve for x
    x = 115,784,013,170.25/155,231.25
  6. Step 6: Final answer
    x = 745,880.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.