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Finding the Third Proportional to 305,543 and 449,443

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Solution

The third proportional to 305,543 and 449,443 is: 661,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,543 : 449,443 = 449,443 : x
  2. Step 2: Convert to fraction form
    305,543/449,443 = 449,443/x
  3. Step 3: Cross multiply
    305,543x = 449,443 × 449,443
  4. Step 4: Simplify right side
    305,543x = 201,999,010,249
  5. Step 5: Solve for x
    x = 201,999,010,249/305,543
  6. Step 6: Final answer
    x = 661,114.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.