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Finding the Third Proportional to 307,917 and 460,636

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Solution

The third proportional to 307,917 and 460,636 is: 689,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,917 : 460,636 = 460,636 : x
  2. Step 2: Convert to fraction form
    307,917/460,636 = 460,636/x
  3. Step 3: Cross multiply
    307,917x = 460,636 × 460,636
  4. Step 4: Simplify right side
    307,917x = 212,185,524,496
  5. Step 5: Solve for x
    x = 212,185,524,496/307,917
  6. Step 6: Final answer
    x = 689,099.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.