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Finding the Third Proportional to 313,407 and 676,687

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Solution

The third proportional to 313,407 and 676,687 is: 1,461,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,407 : 676,687 = 676,687 : x
  2. Step 2: Convert to fraction form
    313,407/676,687 = 676,687/x
  3. Step 3: Cross multiply
    313,407x = 676,687 × 676,687
  4. Step 4: Simplify right side
    313,407x = 457,905,295,969
  5. Step 5: Solve for x
    x = 457,905,295,969/313,407
  6. Step 6: Final answer
    x = 1,461,056.38

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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.