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Finding the Third Proportional to 271,848 and 399,768

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Solution

The third proportional to 271,848 and 399,768 is: 587,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,848 : 399,768 = 399,768 : x
  2. Step 2: Convert to fraction form
    271,848/399,768 = 399,768/x
  3. Step 3: Cross multiply
    271,848x = 399,768 × 399,768
  4. Step 4: Simplify right side
    271,848x = 159,814,453,824
  5. Step 5: Solve for x
    x = 159,814,453,824/271,848
  6. Step 6: Final answer
    x = 587,881.66

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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.