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Finding the Third Proportional to 306,544.50 and 423,321.19

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Solution

The third proportional to 306,544.50 and 423,321.19 is: 584,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,544.50 : 423,321.19 = 423,321.19 : x
  2. Step 2: Convert to fraction form
    306,544.50/423,321.19 = 423,321.19/x
  3. Step 3: Cross multiply
    306,544.50x = 423,321.19 × 423,321.19
  4. Step 4: Simplify right side
    306,544.50x = 179,200,827,786.41
  5. Step 5: Solve for x
    x = 179,200,827,786.41/306,544.50
  6. Step 6: Final answer
    x = 584,583.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.