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Finding the Third Proportional to 81,804.66 and 171,020.53

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Solution

The third proportional to 81,804.66 and 171,020.53 is: 357,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,804.66 : 171,020.53 = 171,020.53 : x
  2. Step 2: Convert to fraction form
    81,804.66/171,020.53 = 171,020.53/x
  3. Step 3: Cross multiply
    81,804.66x = 171,020.53 × 171,020.53
  4. Step 4: Simplify right side
    81,804.66x = 29,248,022,109.03
  5. Step 5: Solve for x
    x = 29,248,022,109.03/81,804.66
  6. Step 6: Final answer
    x = 357,534.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.