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Finding the Third Proportional to 272,334 and 399,345

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Solution

The third proportional to 272,334 and 399,345 is: 585,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,334 : 399,345 = 399,345 : x
  2. Step 2: Convert to fraction form
    272,334/399,345 = 399,345/x
  3. Step 3: Cross multiply
    272,334x = 399,345 × 399,345
  4. Step 4: Simplify right side
    272,334x = 159,476,429,025
  5. Step 5: Solve for x
    x = 159,476,429,025/272,334
  6. Step 6: Final answer
    x = 585,591.33

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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.