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Finding the Third Proportional to 289,446.75 and 447,292.13

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Solution

The third proportional to 289,446.75 and 447,292.13 is: 691,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,446.75 : 447,292.13 = 447,292.13 : x
  2. Step 2: Convert to fraction form
    289,446.75/447,292.13 = 447,292.13/x
  3. Step 3: Cross multiply
    289,446.75x = 447,292.13 × 447,292.13
  4. Step 4: Simplify right side
    289,446.75x = 200,070,245,087.02
  5. Step 5: Solve for x
    x = 200,070,245,087.02/289,446.75
  6. Step 6: Final answer
    x = 691,216.07

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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.