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Finding the Third Proportional to 180,354 and 389,611.50

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Solution

The third proportional to 180,354 and 389,611.50 is: 841,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,354 : 389,611.50 = 389,611.50 : x
  2. Step 2: Convert to fraction form
    180,354/389,611.50 = 389,611.50/x
  3. Step 3: Cross multiply
    180,354x = 389,611.50 × 389,611.50
  4. Step 4: Simplify right side
    180,354x = 151,797,120,932.25
  5. Step 5: Solve for x
    x = 151,797,120,932.25/180,354
  6. Step 6: Final answer
    x = 841,662.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.