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Finding the Third Proportional to 447,766 and 620,610

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Solution

The third proportional to 447,766 and 620,610 is: 860,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,766 : 620,610 = 620,610 : x
  2. Step 2: Convert to fraction form
    447,766/620,610 = 620,610/x
  3. Step 3: Cross multiply
    447,766x = 620,610 × 620,610
  4. Step 4: Simplify right side
    447,766x = 385,156,772,100
  5. Step 5: Solve for x
    x = 385,156,772,100/447,766
  6. Step 6: Final answer
    x = 860,174.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.