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Finding the Third Proportional to 305,420 and 449,230

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Solution

The third proportional to 305,420 and 449,230 is: 660,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,420 : 449,230 = 449,230 : x
  2. Step 2: Convert to fraction form
    305,420/449,230 = 449,230/x
  3. Step 3: Cross multiply
    305,420x = 449,230 × 449,230
  4. Step 4: Simplify right side
    305,420x = 201,807,592,900
  5. Step 5: Solve for x
    x = 201,807,592,900/305,420
  6. Step 6: Final answer
    x = 660,754.35

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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.