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Finding the Third Proportional to 215,160 and 439,824

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Solution

The third proportional to 215,160 and 439,824 is: 899,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,160 : 439,824 = 439,824 : x
  2. Step 2: Convert to fraction form
    215,160/439,824 = 439,824/x
  3. Step 3: Cross multiply
    215,160x = 439,824 × 439,824
  4. Step 4: Simplify right side
    215,160x = 193,445,150,976
  5. Step 5: Solve for x
    x = 193,445,150,976/215,160
  6. Step 6: Final answer
    x = 899,075.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.