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Finding the Third Proportional to 318,579 and 684,381

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Solution

The third proportional to 318,579 and 684,381 is: 1,470,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,579 : 684,381 = 684,381 : x
  2. Step 2: Convert to fraction form
    318,579/684,381 = 684,381/x
  3. Step 3: Cross multiply
    318,579x = 684,381 × 684,381
  4. Step 4: Simplify right side
    318,579x = 468,377,353,161
  5. Step 5: Solve for x
    x = 468,377,353,161/318,579
  6. Step 6: Final answer
    x = 1,470,207.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.