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Finding the Third Proportional to 81,610 and 104,047

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Solution

The third proportional to 81,610 and 104,047 is: 132,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,610 : 104,047 = 104,047 : x
  2. Step 2: Convert to fraction form
    81,610/104,047 = 104,047/x
  3. Step 3: Cross multiply
    81,610x = 104,047 × 104,047
  4. Step 4: Simplify right side
    81,610x = 10,825,778,209
  5. Step 5: Solve for x
    x = 10,825,778,209/81,610
  6. Step 6: Final answer
    x = 132,652.59

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.