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Finding the Third Proportional to 180,297 and 387,081

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Solution

The third proportional to 180,297 and 387,081 is: 831,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,297 : 387,081 = 387,081 : x
  2. Step 2: Convert to fraction form
    180,297/387,081 = 387,081/x
  3. Step 3: Cross multiply
    180,297x = 387,081 × 387,081
  4. Step 4: Simplify right side
    180,297x = 149,831,700,561
  5. Step 5: Solve for x
    x = 149,831,700,561/180,297
  6. Step 6: Final answer
    x = 831,027.14

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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.