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Finding the Third Proportional to 180,061 and 386,809

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Solution

The third proportional to 180,061 and 386,809 is: 830,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,061 : 386,809 = 386,809 : x
  2. Step 2: Convert to fraction form
    180,061/386,809 = 386,809/x
  3. Step 3: Cross multiply
    180,061x = 386,809 × 386,809
  4. Step 4: Simplify right side
    180,061x = 149,621,202,481
  5. Step 5: Solve for x
    x = 149,621,202,481/180,061
  6. Step 6: Final answer
    x = 830,947.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.