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Finding the Third Proportional to 199,720 and 427,408

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Solution

The third proportional to 199,720 and 427,408 is: 914,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,720 : 427,408 = 427,408 : x
  2. Step 2: Convert to fraction form
    199,720/427,408 = 427,408/x
  3. Step 3: Cross multiply
    199,720x = 427,408 × 427,408
  4. Step 4: Simplify right side
    199,720x = 182,677,598,464
  5. Step 5: Solve for x
    x = 182,677,598,464/199,720
  6. Step 6: Final answer
    x = 914,668.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.