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Finding the Third Proportional to 139,293.11 and 305,287.26

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Solution

The third proportional to 139,293.11 and 305,287.26 is: 669,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,293.11 : 305,287.26 = 305,287.26 : x
  2. Step 2: Convert to fraction form
    139,293.11/305,287.26 = 305,287.26/x
  3. Step 3: Cross multiply
    139,293.11x = 305,287.26 × 305,287.26
  4. Step 4: Simplify right side
    139,293.11x = 93,200,310,975.20
  5. Step 5: Solve for x
    x = 93,200,310,975.20/139,293.11
  6. Step 6: Final answer
    x = 669,094.93

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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.