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Finding the Third Proportional to 299,271 and 437,742

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Solution

The third proportional to 299,271 and 437,742 is: 640,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,271 : 437,742 = 437,742 : x
  2. Step 2: Convert to fraction form
    299,271/437,742 = 437,742/x
  3. Step 3: Cross multiply
    299,271x = 437,742 × 437,742
  4. Step 4: Simplify right side
    299,271x = 191,618,058,564
  5. Step 5: Solve for x
    x = 191,618,058,564/299,271
  6. Step 6: Final answer
    x = 640,282.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.