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Finding the Third Proportional to 180,066 and 389,010

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Solution

The third proportional to 180,066 and 389,010 is: 840,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,066 : 389,010 = 389,010 : x
  2. Step 2: Convert to fraction form
    180,066/389,010 = 389,010/x
  3. Step 3: Cross multiply
    180,066x = 389,010 × 389,010
  4. Step 4: Simplify right side
    180,066x = 151,328,780,100
  5. Step 5: Solve for x
    x = 151,328,780,100/180,066
  6. Step 6: Final answer
    x = 840,407.30

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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.