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Finding the Third Proportional to 307,839 and 460,519

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Solution

The third proportional to 307,839 and 460,519 is: 688,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,839 : 460,519 = 460,519 : x
  2. Step 2: Convert to fraction form
    307,839/460,519 = 460,519/x
  3. Step 3: Cross multiply
    307,839x = 460,519 × 460,519
  4. Step 4: Simplify right side
    307,839x = 212,077,749,361
  5. Step 5: Solve for x
    x = 212,077,749,361/307,839
  6. Step 6: Final answer
    x = 688,924.24

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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.