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Finding the Third Proportional to 163,872 and 353,984

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Solution

The third proportional to 163,872 and 353,984 is: 764,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,872 : 353,984 = 353,984 : x
  2. Step 2: Convert to fraction form
    163,872/353,984 = 353,984/x
  3. Step 3: Cross multiply
    163,872x = 353,984 × 353,984
  4. Step 4: Simplify right side
    163,872x = 125,304,672,256
  5. Step 5: Solve for x
    x = 125,304,672,256/163,872
  6. Step 6: Final answer
    x = 764,649.68

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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.