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Finding the Third Proportional to 329,489 and 719,404

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Solution

The third proportional to 329,489 and 719,404 is: 1,570,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,489 : 719,404 = 719,404 : x
  2. Step 2: Convert to fraction form
    329,489/719,404 = 719,404/x
  3. Step 3: Cross multiply
    329,489x = 719,404 × 719,404
  4. Step 4: Simplify right side
    329,489x = 517,542,115,216
  5. Step 5: Solve for x
    x = 517,542,115,216/329,489
  6. Step 6: Final answer
    x = 1,570,741.71

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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.