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Finding the Third Proportional to 180,240 and 389,388

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Solution

The third proportional to 180,240 and 389,388 is: 841,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,240 : 389,388 = 389,388 : x
  2. Step 2: Convert to fraction form
    180,240/389,388 = 389,388/x
  3. Step 3: Cross multiply
    180,240x = 389,388 × 389,388
  4. Step 4: Simplify right side
    180,240x = 151,623,014,544
  5. Step 5: Solve for x
    x = 151,623,014,544/180,240
  6. Step 6: Final answer
    x = 841,228.44

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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.