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Finding the Third Proportional to 180,558 and 389,684.25

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Solution

The third proportional to 180,558 and 389,684.25 is: 841,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,558 : 389,684.25 = 389,684.25 : x
  2. Step 2: Convert to fraction form
    180,558/389,684.25 = 389,684.25/x
  3. Step 3: Cross multiply
    180,558x = 389,684.25 × 389,684.25
  4. Step 4: Simplify right side
    180,558x = 151,853,814,698.06
  5. Step 5: Solve for x
    x = 151,853,814,698.06/180,558
  6. Step 6: Final answer
    x = 841,025.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.