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Finding the Third Proportional to 81,355.50 and 176,704.88

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Solution

The third proportional to 81,355.50 and 176,704.88 is: 383,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,355.50 : 176,704.88 = 176,704.88 : x
  2. Step 2: Convert to fraction form
    81,355.50/176,704.88 = 176,704.88/x
  3. Step 3: Cross multiply
    81,355.50x = 176,704.88 × 176,704.88
  4. Step 4: Simplify right side
    81,355.50x = 31,224,612,848.77
  5. Step 5: Solve for x
    x = 31,224,612,848.77/81,355.50
  6. Step 6: Final answer
    x = 383,804.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.