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Finding the Third Proportional to 180,224 and 389,888

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Solution

The third proportional to 180,224 and 389,888 is: 843,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,224 : 389,888 = 389,888 : x
  2. Step 2: Convert to fraction form
    180,224/389,888 = 389,888/x
  3. Step 3: Cross multiply
    180,224x = 389,888 × 389,888
  4. Step 4: Simplify right side
    180,224x = 152,012,652,544
  5. Step 5: Solve for x
    x = 152,012,652,544/180,224
  6. Step 6: Final answer
    x = 843,465.09

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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.