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Finding the Third Proportional to 439,611 and 685,665

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Solution

The third proportional to 439,611 and 685,665 is: 1,069,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,611 : 685,665 = 685,665 : x
  2. Step 2: Convert to fraction form
    439,611/685,665 = 685,665/x
  3. Step 3: Cross multiply
    439,611x = 685,665 × 685,665
  4. Step 4: Simplify right side
    439,611x = 470,136,492,225
  5. Step 5: Solve for x
    x = 470,136,492,225/439,611
  6. Step 6: Final answer
    x = 1,069,437.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.