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Finding the Third Proportional to 443,669.50 and 665,288

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Solution

The third proportional to 443,669.50 and 665,288 is: 997,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,669.50 : 665,288 = 665,288 : x
  2. Step 2: Convert to fraction form
    443,669.50/665,288 = 665,288/x
  3. Step 3: Cross multiply
    443,669.50x = 665,288 × 665,288
  4. Step 4: Simplify right side
    443,669.50x = 442,608,122,944
  5. Step 5: Solve for x
    x = 442,608,122,944/443,669.50
  6. Step 6: Final answer
    x = 997,607.73

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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.