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Finding the Third Proportional to 180,987.75 and 386,012.25

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Solution

The third proportional to 180,987.75 and 386,012.25 is: 823,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,987.75 : 386,012.25 = 386,012.25 : x
  2. Step 2: Convert to fraction form
    180,987.75/386,012.25 = 386,012.25/x
  3. Step 3: Cross multiply
    180,987.75x = 386,012.25 × 386,012.25
  4. Step 4: Simplify right side
    180,987.75x = 149,005,457,150.06
  5. Step 5: Solve for x
    x = 149,005,457,150.06/180,987.75
  6. Step 6: Final answer
    x = 823,290.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.