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Finding the Third Proportional to 307,767 and 460,419

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Solution

The third proportional to 307,767 and 460,419 is: 688,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,767 : 460,419 = 460,419 : x
  2. Step 2: Convert to fraction form
    307,767/460,419 = 460,419/x
  3. Step 3: Cross multiply
    307,767x = 460,419 × 460,419
  4. Step 4: Simplify right side
    307,767x = 211,985,655,561
  5. Step 5: Solve for x
    x = 211,985,655,561/307,767
  6. Step 6: Final answer
    x = 688,786.18

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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.