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Finding the Third Proportional to 81,815.06 and 173,534.06

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Solution

The third proportional to 81,815.06 and 173,534.06 is: 368,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,815.06 : 173,534.06 = 173,534.06 : x
  2. Step 2: Convert to fraction form
    81,815.06/173,534.06 = 173,534.06/x
  3. Step 3: Cross multiply
    81,815.06x = 173,534.06 × 173,534.06
  4. Step 4: Simplify right side
    81,815.06x = 30,114,070,847.75
  5. Step 5: Solve for x
    x = 30,114,070,847.75/81,815.06
  6. Step 6: Final answer
    x = 368,074.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.