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Finding the Third Proportional to 307,837 and 460,517

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Solution

The third proportional to 307,837 and 460,517 is: 688,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,837 : 460,517 = 460,517 : x
  2. Step 2: Convert to fraction form
    307,837/460,517 = 460,517/x
  3. Step 3: Cross multiply
    307,837x = 460,517 × 460,517
  4. Step 4: Simplify right side
    307,837x = 212,075,907,289
  5. Step 5: Solve for x
    x = 212,075,907,289/307,837
  6. Step 6: Final answer
    x = 688,922.73

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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.