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Finding the Third Proportional to 329,493 and 719,412

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Solution

The third proportional to 329,493 and 719,412 is: 1,570,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,493 : 719,412 = 719,412 : x
  2. Step 2: Convert to fraction form
    329,493/719,412 = 719,412/x
  3. Step 3: Cross multiply
    329,493x = 719,412 × 719,412
  4. Step 4: Simplify right side
    329,493x = 517,553,625,744
  5. Step 5: Solve for x
    x = 517,553,625,744/329,493
  6. Step 6: Final answer
    x = 1,570,757.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.