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Finding the Third Proportional to 318,266 and 693,340

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Solution

The third proportional to 318,266 and 693,340 is: 1,510,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,266 : 693,340 = 693,340 : x
  2. Step 2: Convert to fraction form
    318,266/693,340 = 693,340/x
  3. Step 3: Cross multiply
    318,266x = 693,340 × 693,340
  4. Step 4: Simplify right side
    318,266x = 480,720,355,600
  5. Step 5: Solve for x
    x = 480,720,355,600/318,266
  6. Step 6: Final answer
    x = 1,510,435.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.