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Finding the Third Proportional to 309,933 and 454,281.75

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Solution

The third proportional to 309,933 and 454,281.75 is: 665,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,933 : 454,281.75 = 454,281.75 : x
  2. Step 2: Convert to fraction form
    309,933/454,281.75 = 454,281.75/x
  3. Step 3: Cross multiply
    309,933x = 454,281.75 × 454,281.75
  4. Step 4: Simplify right side
    309,933x = 206,371,908,383.06
  5. Step 5: Solve for x
    x = 206,371,908,383.06/309,933
  6. Step 6: Final answer
    x = 665,859.75

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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.