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Finding the Third Proportional to 318,260 and 691,735

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Solution

The third proportional to 318,260 and 691,735 is: 1,503,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,260 : 691,735 = 691,735 : x
  2. Step 2: Convert to fraction form
    318,260/691,735 = 691,735/x
  3. Step 3: Cross multiply
    318,260x = 691,735 × 691,735
  4. Step 4: Simplify right side
    318,260x = 478,497,310,225
  5. Step 5: Solve for x
    x = 478,497,310,225/318,260
  6. Step 6: Final answer
    x = 1,503,479.26

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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.