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Finding the Third Proportional to 192,642 and 418,656

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Solution

The third proportional to 192,642 and 418,656 is: 909,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642 : 418,656 = 418,656 : x
  2. Step 2: Convert to fraction form
    192,642/418,656 = 418,656/x
  3. Step 3: Cross multiply
    192,642x = 418,656 × 418,656
  4. Step 4: Simplify right side
    192,642x = 175,272,846,336
  5. Step 5: Solve for x
    x = 175,272,846,336/192,642
  6. Step 6: Final answer
    x = 909,837.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.