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Finding the Third Proportional to 88,232 and 206,732

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Solution

The third proportional to 88,232 and 206,732 is: 484,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,232 : 206,732 = 206,732 : x
  2. Step 2: Convert to fraction form
    88,232/206,732 = 206,732/x
  3. Step 3: Cross multiply
    88,232x = 206,732 × 206,732
  4. Step 4: Simplify right side
    88,232x = 42,738,119,824
  5. Step 5: Solve for x
    x = 42,738,119,824/88,232
  6. Step 6: Final answer
    x = 484,383.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.