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Finding the Third Proportional to 443,290 and 664,763

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Solution

The third proportional to 443,290 and 664,763 is: 996,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,290 : 664,763 = 664,763 : x
  2. Step 2: Convert to fraction form
    443,290/664,763 = 664,763/x
  3. Step 3: Cross multiply
    443,290x = 664,763 × 664,763
  4. Step 4: Simplify right side
    443,290x = 441,909,846,169
  5. Step 5: Solve for x
    x = 441,909,846,169/443,290
  6. Step 6: Final answer
    x = 996,886.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.