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Finding the Third Proportional to 289,441.50 and 447,284.25

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Solution

The third proportional to 289,441.50 and 447,284.25 is: 691,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,441.50 : 447,284.25 = 447,284.25 : x
  2. Step 2: Convert to fraction form
    289,441.50/447,284.25 = 447,284.25/x
  3. Step 3: Cross multiply
    289,441.50x = 447,284.25 × 447,284.25
  4. Step 4: Simplify right side
    289,441.50x = 200,063,200,298.06
  5. Step 5: Solve for x
    x = 200,063,200,298.06/289,441.50
  6. Step 6: Final answer
    x = 691,204.27

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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.