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Finding the Third Proportional to 313,602 and 689,631

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Solution

The third proportional to 313,602 and 689,631 is: 1,516,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,602 : 689,631 = 689,631 : x
  2. Step 2: Convert to fraction form
    313,602/689,631 = 689,631/x
  3. Step 3: Cross multiply
    313,602x = 689,631 × 689,631
  4. Step 4: Simplify right side
    313,602x = 475,590,916,161
  5. Step 5: Solve for x
    x = 475,590,916,161/313,602
  6. Step 6: Final answer
    x = 1,516,542.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.