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Finding the Third Proportional to 289,770 and 443,263.50

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Solution

The third proportional to 289,770 and 443,263.50 is: 678,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,770 : 443,263.50 = 443,263.50 : x
  2. Step 2: Convert to fraction form
    289,770/443,263.50 = 443,263.50/x
  3. Step 3: Cross multiply
    289,770x = 443,263.50 × 443,263.50
  4. Step 4: Simplify right side
    289,770x = 196,482,530,432.25
  5. Step 5: Solve for x
    x = 196,482,530,432.25/289,770
  6. Step 6: Final answer
    x = 678,063.74

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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.