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Finding the Third Proportional to 199,824 and 427,992

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Solution

The third proportional to 199,824 and 427,992 is: 916,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,824 : 427,992 = 427,992 : x
  2. Step 2: Convert to fraction form
    199,824/427,992 = 427,992/x
  3. Step 3: Cross multiply
    199,824x = 427,992 × 427,992
  4. Step 4: Simplify right side
    199,824x = 183,177,152,064
  5. Step 5: Solve for x
    x = 183,177,152,064/199,824
  6. Step 6: Final answer
    x = 916,692.45

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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.