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Finding the Third Proportional to 180,414 and 387,429.75

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Solution

The third proportional to 180,414 and 387,429.75 is: 831,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,414 : 387,429.75 = 387,429.75 : x
  2. Step 2: Convert to fraction form
    180,414/387,429.75 = 387,429.75/x
  3. Step 3: Cross multiply
    180,414x = 387,429.75 × 387,429.75
  4. Step 4: Simplify right side
    180,414x = 150,101,811,185.06
  5. Step 5: Solve for x
    x = 150,101,811,185.06/180,414
  6. Step 6: Final answer
    x = 831,985.38

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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.