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Finding the Third Proportional to 315,687 and 670,806

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Solution

The third proportional to 315,687 and 670,806 is: 1,425,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,687 : 670,806 = 670,806 : x
  2. Step 2: Convert to fraction form
    315,687/670,806 = 670,806/x
  3. Step 3: Cross multiply
    315,687x = 670,806 × 670,806
  4. Step 4: Simplify right side
    315,687x = 449,980,689,636
  5. Step 5: Solve for x
    x = 449,980,689,636/315,687
  6. Step 6: Final answer
    x = 1,425,401.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.