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Finding the Third Proportional to 300,543 and 449,877

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Solution

The third proportional to 300,543 and 449,877 is: 673,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,543 : 449,877 = 449,877 : x
  2. Step 2: Convert to fraction form
    300,543/449,877 = 449,877/x
  3. Step 3: Cross multiply
    300,543x = 449,877 × 449,877
  4. Step 4: Simplify right side
    300,543x = 202,389,315,129
  5. Step 5: Solve for x
    x = 202,389,315,129/300,543
  6. Step 6: Final answer
    x = 673,412.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.