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Finding the Third Proportional to 289,692 and 447,657.75

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Solution

The third proportional to 289,692 and 447,657.75 is: 691,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,692 : 447,657.75 = 447,657.75 : x
  2. Step 2: Convert to fraction form
    289,692/447,657.75 = 447,657.75/x
  3. Step 3: Cross multiply
    289,692x = 447,657.75 × 447,657.75
  4. Step 4: Simplify right side
    289,692x = 200,397,461,135.06
  5. Step 5: Solve for x
    x = 200,397,461,135.06/289,692
  6. Step 6: Final answer
    x = 691,760.43

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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.