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Finding the Third Proportional to 271,806 and 399,720

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Solution

The third proportional to 271,806 and 399,720 is: 587,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806 : 399,720 = 399,720 : x
  2. Step 2: Convert to fraction form
    271,806/399,720 = 399,720/x
  3. Step 3: Cross multiply
    271,806x = 399,720 × 399,720
  4. Step 4: Simplify right side
    271,806x = 159,776,078,400
  5. Step 5: Solve for x
    x = 159,776,078,400/271,806
  6. Step 6: Final answer
    x = 587,831.31

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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.