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Finding the Third Proportional to 307,911 and 460,638

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Solution

The third proportional to 307,911 and 460,638 is: 689,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,911 : 460,638 = 460,638 : x
  2. Step 2: Convert to fraction form
    307,911/460,638 = 460,638/x
  3. Step 3: Cross multiply
    307,911x = 460,638 × 460,638
  4. Step 4: Simplify right side
    307,911x = 212,187,367,044
  5. Step 5: Solve for x
    x = 212,187,367,044/307,911
  6. Step 6: Final answer
    x = 689,119.15

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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.