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Finding the Third Proportional to 188,715 and 289,624.50

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Solution

The third proportional to 188,715 and 289,624.50 is: 444,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,715 : 289,624.50 = 289,624.50 : x
  2. Step 2: Convert to fraction form
    188,715/289,624.50 = 289,624.50/x
  3. Step 3: Cross multiply
    188,715x = 289,624.50 × 289,624.50
  4. Step 4: Simplify right side
    188,715x = 83,882,351,000.25
  5. Step 5: Solve for x
    x = 83,882,351,000.25/188,715
  6. Step 6: Final answer
    x = 444,492.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.