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Finding the Third Proportional to 305,290 and 449,101

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Solution

The third proportional to 305,290 and 449,101 is: 660,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,290 : 449,101 = 449,101 : x
  2. Step 2: Convert to fraction form
    305,290/449,101 = 449,101/x
  3. Step 3: Cross multiply
    305,290x = 449,101 × 449,101
  4. Step 4: Simplify right side
    305,290x = 201,691,708,201
  5. Step 5: Solve for x
    x = 201,691,708,201/305,290
  6. Step 6: Final answer
    x = 660,656.12

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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.