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Finding the Third Proportional to 149,491.81 and 230,847.57

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Solution

The third proportional to 149,491.81 and 230,847.57 is: 356,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,491.81 : 230,847.57 = 230,847.57 : x
  2. Step 2: Convert to fraction form
    149,491.81/230,847.57 = 230,847.57/x
  3. Step 3: Cross multiply
    149,491.81x = 230,847.57 × 230,847.57
  4. Step 4: Simplify right side
    149,491.81x = 53,290,599,479.28
  5. Step 5: Solve for x
    x = 53,290,599,479.28/149,491.81
  6. Step 6: Final answer
    x = 356,478.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.