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Finding the Third Proportional to 339,543 and 719,561

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Solution

The third proportional to 339,543 and 719,561 is: 1,524,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,543 : 719,561 = 719,561 : x
  2. Step 2: Convert to fraction form
    339,543/719,561 = 719,561/x
  3. Step 3: Cross multiply
    339,543x = 719,561 × 719,561
  4. Step 4: Simplify right side
    339,543x = 517,768,032,721
  5. Step 5: Solve for x
    x = 517,768,032,721/339,543
  6. Step 6: Final answer
    x = 1,524,896.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.