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Finding the Third Proportional to 82,905.19 and 177,639.75

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Solution

The third proportional to 82,905.19 and 177,639.75 is: 380,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,905.19 : 177,639.75 = 177,639.75 : x
  2. Step 2: Convert to fraction form
    82,905.19/177,639.75 = 177,639.75/x
  3. Step 3: Cross multiply
    82,905.19x = 177,639.75 × 177,639.75
  4. Step 4: Simplify right side
    82,905.19x = 31,555,880,780.06
  5. Step 5: Solve for x
    x = 31,555,880,780.06/82,905.19
  6. Step 6: Final answer
    x = 380,626.13

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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.