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Finding the Third Proportional to 305,220 and 449,006

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Solution

The third proportional to 305,220 and 449,006 is: 660,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,220 : 449,006 = 449,006 : x
  2. Step 2: Convert to fraction form
    305,220/449,006 = 449,006/x
  3. Step 3: Cross multiply
    305,220x = 449,006 × 449,006
  4. Step 4: Simplify right side
    305,220x = 201,606,388,036
  5. Step 5: Solve for x
    x = 201,606,388,036/305,220
  6. Step 6: Final answer
    x = 660,528.10

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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.