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Finding the Third Proportional to 313,406 and 676,685

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Solution

The third proportional to 313,406 and 676,685 is: 1,461,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,406 : 676,685 = 676,685 : x
  2. Step 2: Convert to fraction form
    313,406/676,685 = 676,685/x
  3. Step 3: Cross multiply
    313,406x = 676,685 × 676,685
  4. Step 4: Simplify right side
    313,406x = 457,902,589,225
  5. Step 5: Solve for x
    x = 457,902,589,225/313,406
  6. Step 6: Final answer
    x = 1,461,052.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.