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Finding the Third Proportional to 199,842 and 433,344

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Solution

The third proportional to 199,842 and 433,344 is: 939,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,842 : 433,344 = 433,344 : x
  2. Step 2: Convert to fraction form
    199,842/433,344 = 433,344/x
  3. Step 3: Cross multiply
    199,842x = 433,344 × 433,344
  4. Step 4: Simplify right side
    199,842x = 187,787,022,336
  5. Step 5: Solve for x
    x = 187,787,022,336/199,842
  6. Step 6: Final answer
    x = 939,677.46

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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.