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Finding the Third Proportional to 318,180 and 692,436

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Solution

The third proportional to 318,180 and 692,436 is: 1,506,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,180 : 692,436 = 692,436 : x
  2. Step 2: Convert to fraction form
    318,180/692,436 = 692,436/x
  3. Step 3: Cross multiply
    318,180x = 692,436 × 692,436
  4. Step 4: Simplify right side
    318,180x = 479,467,614,096
  5. Step 5: Solve for x
    x = 479,467,614,096/318,180
  6. Step 6: Final answer
    x = 1,506,906.83

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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.