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Finding the Third Proportional to 443,670 and 665,289

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Solution

The third proportional to 443,670 and 665,289 is: 997,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,670 : 665,289 = 665,289 : x
  2. Step 2: Convert to fraction form
    443,670/665,289 = 665,289/x
  3. Step 3: Cross multiply
    443,670x = 665,289 × 665,289
  4. Step 4: Simplify right side
    443,670x = 442,609,453,521
  5. Step 5: Solve for x
    x = 442,609,453,521/443,670
  6. Step 6: Final answer
    x = 997,609.61

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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.