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Finding the Third Proportional to 299,430 and 440,378

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Solution

The third proportional to 299,430 and 440,378 is: 647,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,430 : 440,378 = 440,378 : x
  2. Step 2: Convert to fraction form
    299,430/440,378 = 440,378/x
  3. Step 3: Cross multiply
    299,430x = 440,378 × 440,378
  4. Step 4: Simplify right side
    299,430x = 193,932,782,884
  5. Step 5: Solve for x
    x = 193,932,782,884/299,430
  6. Step 6: Final answer
    x = 647,673.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.