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Finding the Third Proportional to 180,059.50 and 386,807

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Solution

The third proportional to 180,059.50 and 386,807 is: 830,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,059.50 : 386,807 = 386,807 : x
  2. Step 2: Convert to fraction form
    180,059.50/386,807 = 386,807/x
  3. Step 3: Cross multiply
    180,059.50x = 386,807 × 386,807
  4. Step 4: Simplify right side
    180,059.50x = 149,619,655,249
  5. Step 5: Solve for x
    x = 149,619,655,249/180,059.50
  6. Step 6: Final answer
    x = 830,945.63

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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.