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Finding the Third Proportional to 81,729 and 190,998

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Solution

The third proportional to 81,729 and 190,998 is: 446,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,729 : 190,998 = 190,998 : x
  2. Step 2: Convert to fraction form
    81,729/190,998 = 190,998/x
  3. Step 3: Cross multiply
    81,729x = 190,998 × 190,998
  4. Step 4: Simplify right side
    81,729x = 36,480,236,004
  5. Step 5: Solve for x
    x = 36,480,236,004/81,729
  6. Step 6: Final answer
    x = 446,356.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.