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Finding the Third Proportional to 81,806.50 and 171,023.50

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Solution

The third proportional to 81,806.50 and 171,023.50 is: 357,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.50 : 171,023.50 = 171,023.50 : x
  2. Step 2: Convert to fraction form
    81,806.50/171,023.50 = 171,023.50/x
  3. Step 3: Cross multiply
    81,806.50x = 171,023.50 × 171,023.50
  4. Step 4: Simplify right side
    81,806.50x = 29,249,037,552.25
  5. Step 5: Solve for x
    x = 29,249,037,552.25/81,806.50
  6. Step 6: Final answer
    x = 357,539.29

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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.