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Finding the Third Proportional to 201,810 and 442,982

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Solution

The third proportional to 201,810 and 442,982 is: 972,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810 : 442,982 = 442,982 : x
  2. Step 2: Convert to fraction form
    201,810/442,982 = 442,982/x
  3. Step 3: Cross multiply
    201,810x = 442,982 × 442,982
  4. Step 4: Simplify right side
    201,810x = 196,233,052,324
  5. Step 5: Solve for x
    x = 196,233,052,324/201,810
  6. Step 6: Final answer
    x = 972,365.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.