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Finding the Third Proportional to 397,314 and 860,624

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Solution

The third proportional to 397,314 and 860,624 is: 1,864,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,314 : 860,624 = 860,624 : x
  2. Step 2: Convert to fraction form
    397,314/860,624 = 860,624/x
  3. Step 3: Cross multiply
    397,314x = 860,624 × 860,624
  4. Step 4: Simplify right side
    397,314x = 740,673,669,376
  5. Step 5: Solve for x
    x = 740,673,669,376/397,314
  6. Step 6: Final answer
    x = 1,864,202.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.