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Finding the Third Proportional to 180,129.45 and 386,969.91

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Solution

The third proportional to 180,129.45 and 386,969.91 is: 831,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,129.45 : 386,969.91 = 386,969.91 : x
  2. Step 2: Convert to fraction form
    180,129.45/386,969.91 = 386,969.91/x
  3. Step 3: Cross multiply
    180,129.45x = 386,969.91 × 386,969.91
  4. Step 4: Simplify right side
    180,129.45x = 149,745,708,343.13
  5. Step 5: Solve for x
    x = 149,745,708,343.13/180,129.45
  6. Step 6: Final answer
    x = 831,322.76

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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.