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Finding the Third Proportional to 443,706 and 665,343

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Solution

The third proportional to 443,706 and 665,343 is: 997,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,706 : 665,343 = 665,343 : x
  2. Step 2: Convert to fraction form
    443,706/665,343 = 665,343/x
  3. Step 3: Cross multiply
    443,706x = 665,343 × 665,343
  4. Step 4: Simplify right side
    443,706x = 442,681,307,649
  5. Step 5: Solve for x
    x = 442,681,307,649/443,706
  6. Step 6: Final answer
    x = 997,690.61

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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.