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Finding the Third Proportional to 81,004 and 170,810

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Solution

The third proportional to 81,004 and 170,810 is: 360,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,004 : 170,810 = 170,810 : x
  2. Step 2: Convert to fraction form
    81,004/170,810 = 170,810/x
  3. Step 3: Cross multiply
    81,004x = 170,810 × 170,810
  4. Step 4: Simplify right side
    81,004x = 29,176,056,100
  5. Step 5: Solve for x
    x = 29,176,056,100/81,004
  6. Step 6: Final answer
    x = 360,180.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.