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Finding the Third Proportional to 271,798 and 399,708

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Solution

The third proportional to 271,798 and 399,708 is: 587,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,798 : 399,708 = 399,708 : x
  2. Step 2: Convert to fraction form
    271,798/399,708 = 399,708/x
  3. Step 3: Cross multiply
    271,798x = 399,708 × 399,708
  4. Step 4: Simplify right side
    271,798x = 159,766,485,264
  5. Step 5: Solve for x
    x = 159,766,485,264/271,798
  6. Step 6: Final answer
    x = 587,813.32

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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.