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Finding the Third Proportional to 331,984 and 719,872

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Solution

The third proportional to 331,984 and 719,872 is: 1,560,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,984 : 719,872 = 719,872 : x
  2. Step 2: Convert to fraction form
    331,984/719,872 = 719,872/x
  3. Step 3: Cross multiply
    331,984x = 719,872 × 719,872
  4. Step 4: Simplify right side
    331,984x = 518,215,696,384
  5. Step 5: Solve for x
    x = 518,215,696,384/331,984
  6. Step 6: Final answer
    x = 1,560,965.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.