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Finding the Third Proportional to 309,939 and 454,290

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Solution

The third proportional to 309,939 and 454,290 is: 665,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,939 : 454,290 = 454,290 : x
  2. Step 2: Convert to fraction form
    309,939/454,290 = 454,290/x
  3. Step 3: Cross multiply
    309,939x = 454,290 × 454,290
  4. Step 4: Simplify right side
    309,939x = 206,379,404,100
  5. Step 5: Solve for x
    x = 206,379,404,100/309,939
  6. Step 6: Final answer
    x = 665,871.04

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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.