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Finding the Third Proportional to 307,540 and 665,624

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Solution

The third proportional to 307,540 and 665,624 is: 1,440,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,540 : 665,624 = 665,624 : x
  2. Step 2: Convert to fraction form
    307,540/665,624 = 665,624/x
  3. Step 3: Cross multiply
    307,540x = 665,624 × 665,624
  4. Step 4: Simplify right side
    307,540x = 443,055,309,376
  5. Step 5: Solve for x
    x = 443,055,309,376/307,540
  6. Step 6: Final answer
    x = 1,440,642.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.