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Finding the Third Proportional to 81,004.50 and 173,719.13

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Solution

The third proportional to 81,004.50 and 173,719.13 is: 372,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,004.50 : 173,719.13 = 173,719.13 : x
  2. Step 2: Convert to fraction form
    81,004.50/173,719.13 = 173,719.13/x
  3. Step 3: Cross multiply
    81,004.50x = 173,719.13 × 173,719.13
  4. Step 4: Simplify right side
    81,004.50x = 30,178,334,390.77
  5. Step 5: Solve for x
    x = 30,178,334,390.77/81,004.50
  6. Step 6: Final answer
    x = 372,551.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.