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Finding the Third Proportional to 82,012.50 and 176,478.75

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Solution

The third proportional to 82,012.50 and 176,478.75 is: 379,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012.50 : 176,478.75 = 176,478.75 : x
  2. Step 2: Convert to fraction form
    82,012.50/176,478.75 = 176,478.75/x
  3. Step 3: Cross multiply
    82,012.50x = 176,478.75 × 176,478.75
  4. Step 4: Simplify right side
    82,012.50x = 31,144,749,201.56
  5. Step 5: Solve for x
    x = 31,144,749,201.56/82,012.50
  6. Step 6: Final answer
    x = 379,756.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.