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Finding the Third Proportional to 289,306 and 447,063

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Solution

The third proportional to 289,306 and 447,063 is: 690,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,306 : 447,063 = 447,063 : x
  2. Step 2: Convert to fraction form
    289,306/447,063 = 447,063/x
  3. Step 3: Cross multiply
    289,306x = 447,063 × 447,063
  4. Step 4: Simplify right side
    289,306x = 199,865,325,969
  5. Step 5: Solve for x
    x = 199,865,325,969/289,306
  6. Step 6: Final answer
    x = 690,844.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.